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1,012,728

1,012,728 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.).

1,012,728 (one million twelve thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 42,197. Its proper divisors sum to 1,519,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF73F8.

Abundant Number Evil 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
8,272,101
Square (n²)
1,025,618,001,984
Cube (n³)
1,038,672,067,913,252,352
Divisor count
16
σ(n) — sum of divisors
2,531,880
φ(n) — Euler's totient
337,568
Sum of prime factors
42,206

Primality

Prime factorization: 2 3 × 3 × 42197

Nearest primes: 1,012,721 (−7) · 1,012,733 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 42197 · 84394 · 126591 · 168788 · 253182 · 337576 · 506364 (half) · 1012728
Aliquot sum (sum of proper divisors): 1,519,152
Factor pairs (a × b = 1,012,728)
1 × 1012728
2 × 506364
3 × 337576
4 × 253182
6 × 168788
8 × 126591
12 × 84394
24 × 42197
First multiples
1,012,728 · 2,025,456 (double) · 3,038,184 · 4,050,912 · 5,063,640 · 6,076,368 · 7,089,096 · 8,101,824 · 9,114,552 · 10,127,280

Sums & aliquot sequence

As consecutive integers: 337,575 + 337,576 + 337,577 63,288 + 63,289 + … + 63,303 21,075 + 21,076 + … + 21,122
Aliquot sequence: 1,012,728 1,519,152 2,405,448 4,109,502 4,583,490 6,416,958 6,635,202 9,424,830 13,194,834 13,234,254 15,860,826 19,519,974 23,857,866 27,927,894 27,927,906 31,213,758 31,213,770 — unresolved within range

Continued fraction of √n

√1,012,728 = [1006; (2, 1, 9, 1, 6, 1, 2, 1, 17, 2, 1, 1, 3, 1, 1, 1, 1, 9, 3, 1, 8, 1, 2, 1, …)]

Representations

In words
one million twelve thousand seven hundred twenty-eight
Ordinal
1012728th
Binary
11110111001111111000
Octal
3671770
Hexadecimal
0xF73F8
Base64
D3P4
One's complement
4,293,954,567 (32-bit)
Scientific notation
1.012728 × 10⁶
As a duration
1,012,728 s = 11 days, 17 hours, 18 minutes, 48 seconds
In other bases
ternary (3) 1220110012110
quaternary (4) 3313033320
quinary (5) 224401403
senary (6) 33412320
septenary (7) 11415363
nonary (9) 1813173
undecimal (11) 631972
duodecimal (12) 40a0a0
tridecimal (13) 295c62
tetradecimal (14) 1c50da
pentadecimal (15) 150103

As an angle

1,012,728° = 2,813 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千七百二十八
Chinese (financial)
壹佰零壹萬貳仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٠١٢٧٢٨ Devanagari १०१२७२८ Bengali ১০১২৭২৮ Tamil ௧௦௧௨௭௨௮ Thai ๑๐๑๒๗๒๘ Tibetan ༡༠༡༢༧༢༨ Khmer ១០១២៧២៨ Lao ໑໐໑໒໗໒໘ Burmese ၁၀၁၂၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012728, here are decompositions:

  • 7 + 1012721 = 1012728
  • 11 + 1012717 = 1012728
  • 29 + 1012699 = 1012728
  • 37 + 1012691 = 1012728
  • 71 + 1012657 = 1012728
  • 97 + 1012631 = 1012728
  • 109 + 1012619 = 1012728
  • 127 + 1012601 = 1012728

Showing the first eight; more decompositions exist.

Hex color
#0F73F8
RGB(15, 115, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.115.248.

Address
0.15.115.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.115.248

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 2728 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2728-10-01 (MMDYYYY (US, single-digit day))
  • 2728-01-10 (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 1,012,728 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°.