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1,012,440

1,012,440 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.).

1,012,440 (one million twelve thousand four hundred forty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 11 × 13 × 59. Its proper divisors sum to 2,616,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF72D8.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
442,101
Square (n²)
1,025,034,753,600
Cube (n³)
1,037,786,185,934,784,000
Divisor count
128
σ(n) — sum of divisors
3,628,800
φ(n) — Euler's totient
222,720
Sum of prime factors
97

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 13 × 59

Nearest primes: 1,012,439 (−1) · 1,012,447 (+7)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 13 · 15 · 20 · 22 · 24 · 26 · 30 · 33 · 39 · 40 · 44 · 52 · 55 · 59 · 60 · 65 · 66 · 78 · 88 · 104 · 110 · 118 · 120 · 130 · 132 · 143 · 156 · 165 · 177 · 195 · 220 · 236 · 260 · 264 · 286 · 295 · 312 · 330 · 354 · 390 · 429 · 440 · 472 · 520 · 572 · 590 · 649 · 660 · 708 · 715 · 767 · 780 · 858 · 885 · 1144 · 1180 · 1298 · 1320 · 1416 · 1430 · 1534 · 1560 · 1716 · 1770 · 1947 · 2145 · 2301 · 2360 · 2596 · 2860 · 3068 · 3245 · 3432 · 3540 · 3835 · 3894 · 4290 · 4602 · 5192 · 5720 · 6136 · 6490 · 7080 · 7670 · 7788 · 8437 · 8580 · 9204 · 9735 · 11505 · 12980 · 15340 · 15576 · 16874 · 17160 · 18408 · 19470 · 23010 · 25311 · 25960 · 30680 · 33748 · 38940 · 42185 · 46020 · 50622 · 67496 · 77880 · 84370 · 92040 · 101244 · 126555 · 168740 · 202488 · 253110 · 337480 · 506220 (half) · 1012440
Aliquot sum (sum of proper divisors): 2,616,360
Factor pairs (a × b = 1,012,440)
1 × 1012440
2 × 506220
3 × 337480
4 × 253110
5 × 202488
6 × 168740
8 × 126555
10 × 101244
11 × 92040
12 × 84370
13 × 77880
15 × 67496
20 × 50622
22 × 46020
24 × 42185
26 × 38940
30 × 33748
33 × 30680
39 × 25960
40 × 25311
44 × 23010
52 × 19470
55 × 18408
59 × 17160
60 × 16874
65 × 15576
66 × 15340
78 × 12980
88 × 11505
104 × 9735
110 × 9204
118 × 8580
120 × 8437
130 × 7788
132 × 7670
143 × 7080
156 × 6490
165 × 6136
177 × 5720
195 × 5192
220 × 4602
236 × 4290
260 × 3894
264 × 3835
286 × 3540
295 × 3432
312 × 3245
330 × 3068
354 × 2860
390 × 2596
429 × 2360
440 × 2301
472 × 2145
520 × 1947
572 × 1770
590 × 1716
649 × 1560
660 × 1534
708 × 1430
715 × 1416
767 × 1320
780 × 1298
858 × 1180
885 × 1144
First multiples
1,012,440 · 2,024,880 (double) · 3,037,320 · 4,049,760 · 5,062,200 · 6,074,640 · 7,087,080 · 8,099,520 · 9,111,960 · 10,124,400

Sums & aliquot sequence

As consecutive integers: 337,479 + 337,480 + 337,481 202,486 + 202,487 + 202,488 + 202,489 + 202,490 92,035 + 92,036 + … + 92,045 77,874 + 77,875 + … + 77,886
Aliquot sequence: 1,012,440 2,616,360 5,233,080 10,466,520 20,933,400 44,687,400 95,928,600 206,440,440 416,192,520 872,549,880 1,747,594,920 3,826,501,080 7,677,140,520 18,644,487,000 — keeps growing

Continued fraction of √n

√1,012,440 = [1006; (4, 1, 50, 1, 4, 2012)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million twelve thousand four hundred forty
Ordinal
1012440th
Binary
11110111001011011000
Octal
3671330
Hexadecimal
0xF72D8
Base64
D3LY
One's complement
4,293,954,855 (32-bit)
Scientific notation
1.01244 × 10⁶
As a duration
1,012,440 s = 11 days, 17 hours, 14 minutes
In other bases
ternary (3) 1220102210210
quaternary (4) 3313023120
quinary (5) 224344230
senary (6) 33411120
septenary (7) 11414502
nonary (9) 1812723
undecimal (11) 631730
duodecimal (12) 409aa0
tridecimal (13) 295aa0
tetradecimal (14) 1c4d72
pentadecimal (15) 14eeb0

As an angle

1,012,440° = 2,812 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬二千四百四十
Chinese (financial)
壹佰零壹萬貳仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠١٢٤٤٠ Devanagari १०१२४४० Bengali ১০১২৪৪০ Tamil ௧௦௧௨௪௪௦ Thai ๑๐๑๒๔๔๐ Tibetan ༡༠༡༢༤༤༠ Khmer ១០១២៤៤០ Lao ໑໐໑໒໔໔໐ Burmese ၁၀၁၂၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012440, here are decompositions:

  • 7 + 1012433 = 1012440
  • 17 + 1012423 = 1012440
  • 19 + 1012421 = 1012440
  • 29 + 1012411 = 1012440
  • 41 + 1012399 = 1012440
  • 43 + 1012397 = 1012440
  • 61 + 1012379 = 1012440
  • 67 + 1012373 = 1012440

Showing the first eight; more decompositions exist.

Hex color
#0F72D8
RGB(15, 114, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.216.

Address
0.15.114.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.114.216

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 2440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2440-10-01 (MMDYYYY (US, single-digit day))
  • 2440-01-10 (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 1,012,440 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°.