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1,018,920

1,018,920 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.).

1,018,920 (one million eighteen thousand nine hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 1,213. Its proper divisors sum to 2,477,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8C28.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
298,101
Square (n²)
1,038,197,966,400
Cube (n³)
1,057,840,671,924,288,000
Divisor count
64
σ(n) — sum of divisors
3,496,320
φ(n) — Euler's totient
232,704
Sum of prime factors
1,234

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 1213

Nearest primes: 1,018,907 (−13) · 1,018,931 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 56 · 60 · 70 · 84 · 105 · 120 · 140 · 168 · 210 · 280 · 420 · 840 · 1213 · 2426 · 3639 · 4852 · 6065 · 7278 · 8491 · 9704 · 12130 · 14556 · 16982 · 18195 · 24260 · 25473 · 29112 · 33964 · 36390 · 42455 · 48520 · 50946 · 67928 · 72780 · 84910 · 101892 · 127365 · 145560 · 169820 · 203784 · 254730 · 339640 · 509460 (half) · 1018920
Aliquot sum (sum of proper divisors): 2,477,400
Factor pairs (a × b = 1,018,920)
1 × 1018920
2 × 509460
3 × 339640
4 × 254730
5 × 203784
6 × 169820
7 × 145560
8 × 127365
10 × 101892
12 × 84910
14 × 72780
15 × 67928
20 × 50946
21 × 48520
24 × 42455
28 × 36390
30 × 33964
35 × 29112
40 × 25473
42 × 24260
56 × 18195
60 × 16982
70 × 14556
84 × 12130
105 × 9704
120 × 8491
140 × 7278
168 × 6065
210 × 4852
280 × 3639
420 × 2426
840 × 1213
First multiples
1,018,920 · 2,037,840 (double) · 3,056,760 · 4,075,680 · 5,094,600 · 6,113,520 · 7,132,440 · 8,151,360 · 9,170,280 · 10,189,200

Sums & aliquot sequence

As consecutive integers: 339,639 + 339,640 + 339,641 203,782 + 203,783 + 203,784 + 203,785 + 203,786 145,557 + 145,558 + … + 145,563 67,921 + 67,922 + … + 67,935
Aliquot sequence: 1,018,920 2,477,400 5,204,400 11,470,872 21,303,528 32,510,232 56,019,768 104,037,192 233,014,068 440,138,412 831,373,284 1,390,283,804 1,604,174,404 1,609,200,124 1,642,384,996 1,679,297,564 1,684,253,284 — unresolved within range

Continued fraction of √n

√1,018,920 = [1009; (2, 2, 2, 6, 1, 1, 3, 7, 1, 4, 1, 2, 2, 16, 3, 1, 5, 1, 2, 1, 4, 3, 7, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one million eighteen thousand nine hundred twenty
Ordinal
1018920th
Binary
11111000110000101000
Octal
3706050
Hexadecimal
0xF8C28
Base64
D4wo
One's complement
4,293,948,375 (32-bit)
Scientific notation
1.01892 × 10⁶
As a duration
1,018,920 s = 11 days, 19 hours, 2 minutes
In other bases
ternary (3) 1220202200210
quaternary (4) 3320300220
quinary (5) 230101140
senary (6) 33501120
septenary (7) 11442420
nonary (9) 1822623
undecimal (11) 636591
duodecimal (12) 4117a0
tridecimal (13) 298a16
tetradecimal (14) 1c7480
pentadecimal (15) 151d80

As an angle

1,018,920° = 2,830 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零一萬八千九百二十
Chinese (financial)
壹佰零壹萬捌仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٠١٨٩٢٠ Devanagari १०१८९२० Bengali ১০১৮৯২০ Tamil ௧௦௧௮௯௨௦ Thai ๑๐๑๘๙๒๐ Tibetan ༡༠༡༨༩༢༠ Khmer ១០១៨៩២០ Lao ໑໐໑໘໙໒໐ Burmese ၁၀၁၈၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018920, here are decompositions:

  • 13 + 1018907 = 1018920
  • 17 + 1018903 = 1018920
  • 31 + 1018889 = 1018920
  • 41 + 1018879 = 1018920
  • 47 + 1018873 = 1018920
  • 61 + 1018859 = 1018920
  • 103 + 1018817 = 1018920
  • 107 + 1018813 = 1018920

Showing the first eight; more decompositions exist.

Hex color
#0F8C28
RGB(15, 140, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.140.40.

Address
0.15.140.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.140.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 8920 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8920-10-01 (MMDYYYY (US, single-digit day))
  • 8920-01-10 (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 1,018,920 and was likely granted around 1911.

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

Related reading

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