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1,013,880

1,013,880 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,013,880 (one million thirteen thousand eight hundred eighty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 17 × 71. Its proper divisors sum to 2,718,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7878.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
883,101
Square (n²)
1,027,952,654,400
Cube (n³)
1,042,220,637,243,072,000
Divisor count
128
σ(n) — sum of divisors
3,732,480
φ(n) — Euler's totient
215,040
Sum of prime factors
109

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 17 × 71

Nearest primes: 1,013,879 (−1) · 1,013,891 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 17 · 20 · 21 · 24 · 28 · 30 · 34 · 35 · 40 · 42 · 51 · 56 · 60 · 68 · 70 · 71 · 84 · 85 · 102 · 105 · 119 · 120 · 136 · 140 · 142 · 168 · 170 · 204 · 210 · 213 · 238 · 255 · 280 · 284 · 340 · 355 · 357 · 408 · 420 · 426 · 476 · 497 · 510 · 568 · 595 · 680 · 710 · 714 · 840 · 852 · 952 · 994 · 1020 · 1065 · 1190 · 1207 · 1420 · 1428 · 1491 · 1704 · 1785 · 1988 · 2040 · 2130 · 2380 · 2414 · 2485 · 2840 · 2856 · 2982 · 3570 · 3621 · 3976 · 4260 · 4760 · 4828 · 4970 · 5964 · 6035 · 7140 · 7242 · 7455 · 8449 · 8520 · 9656 · 9940 · 11928 · 12070 · 14280 · 14484 · 14910 · 16898 · 18105 · 19880 · 24140 · 25347 · 28968 · 29820 · 33796 · 36210 · 42245 · 48280 · 50694 · 59640 · 67592 · 72420 · 84490 · 101388 · 126735 · 144840 · 168980 · 202776 · 253470 · 337960 · 506940 (half) · 1013880
Aliquot sum (sum of proper divisors): 2,718,600
Factor pairs (a × b = 1,013,880)
1 × 1013880
2 × 506940
3 × 337960
4 × 253470
5 × 202776
6 × 168980
7 × 144840
8 × 126735
10 × 101388
12 × 84490
14 × 72420
15 × 67592
17 × 59640
20 × 50694
21 × 48280
24 × 42245
28 × 36210
30 × 33796
34 × 29820
35 × 28968
40 × 25347
42 × 24140
51 × 19880
56 × 18105
60 × 16898
68 × 14910
70 × 14484
71 × 14280
84 × 12070
85 × 11928
102 × 9940
105 × 9656
119 × 8520
120 × 8449
136 × 7455
140 × 7242
142 × 7140
168 × 6035
170 × 5964
204 × 4970
210 × 4828
213 × 4760
238 × 4260
255 × 3976
280 × 3621
284 × 3570
340 × 2982
355 × 2856
357 × 2840
408 × 2485
420 × 2414
426 × 2380
476 × 2130
497 × 2040
510 × 1988
568 × 1785
595 × 1704
680 × 1491
710 × 1428
714 × 1420
840 × 1207
852 × 1190
952 × 1065
994 × 1020
First multiples
1,013,880 · 2,027,760 (double) · 3,041,640 · 4,055,520 · 5,069,400 · 6,083,280 · 7,097,160 · 8,111,040 · 9,124,920 · 10,138,800

Sums & aliquot sequence

As consecutive integers: 337,959 + 337,960 + 337,961 202,774 + 202,775 + 202,776 + 202,777 + 202,778 144,837 + 144,838 + … + 144,843 67,585 + 67,586 + … + 67,599
Aliquot sequence: 1,013,880 2,718,600 6,120,120 12,240,600 27,399,720 54,799,800 149,294,280 309,020,280 651,160,200 1,437,099,000 3,120,734,280 6,245,198,520 14,193,637,320 — keeps growing

Continued fraction of √n

√1,013,880 = [1006; (1, 10, 1, 10, 1, 2012)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million thirteen thousand eight hundred eighty
Ordinal
1013880th
Binary
11110111100001111000
Octal
3674170
Hexadecimal
0xF7878
Base64
D3h4
One's complement
4,293,953,415 (32-bit)
Scientific notation
1.01388 × 10⁶
As a duration
1,013,880 s = 11 days, 17 hours, 38 minutes
In other bases
ternary (3) 1220111210010
quaternary (4) 3313201320
quinary (5) 224421010
senary (6) 33421520
septenary (7) 11421630
nonary (9) 1814703
undecimal (11) 63281a
duodecimal (12) 40a8a0
tridecimal (13) 29663a
tetradecimal (14) 1c56c0
pentadecimal (15) 150620

As an angle

1,013,880° = 2,816 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零一萬三千八百八十
Chinese (financial)
壹佰零壹萬參仟捌佰捌拾
In other modern scripts
Eastern Arabic ١٠١٣٨٨٠ Devanagari १०१३८८० Bengali ১০১৩৮৮০ Tamil ௧௦௧௩௮௮௦ Thai ๑๐๑๓๘๘๐ Tibetan ༡༠༡༣༨༨༠ Khmer ១០១៣៨៨០ Lao ໑໐໑໓໘໘໐ Burmese ၁၀၁၃၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013880, here are decompositions:

  • 29 + 1013851 = 1013880
  • 37 + 1013843 = 1013880
  • 41 + 1013839 = 1013880
  • 47 + 1013833 = 1013880
  • 53 + 1013827 = 1013880
  • 61 + 1013819 = 1013880
  • 67 + 1013813 = 1013880
  • 89 + 1013791 = 1013880

Showing the first eight; more decompositions exist.

Hex color
#0F7878
RGB(15, 120, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.120.

Address
0.15.120.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.120.120

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3880 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3880-10-01 (MMDYYYY (US, single-digit day))
  • 3880-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,013,880 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1013880 first appears in π at position 288,995 of the decimal expansion (the 288,995ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.