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1,048,040

1,048,040 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.).

1,048,040 (one million forty-eight thousand forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 19 × 197. Its proper divisors sum to 1,803,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFDE8.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
408,401
Square (n²)
1,098,387,841,600
Cube (n³)
1,151,154,393,510,464,000
Divisor count
64
σ(n) — sum of divisors
2,851,200
φ(n) — Euler's totient
338,688
Sum of prime factors
234

Primality

Prime factorization: 2 3 × 5 × 7 × 19 × 197

Nearest primes: 1,048,027 (−13) · 1,048,043 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 19 · 20 · 28 · 35 · 38 · 40 · 56 · 70 · 76 · 95 · 133 · 140 · 152 · 190 · 197 · 266 · 280 · 380 · 394 · 532 · 665 · 760 · 788 · 985 · 1064 · 1330 · 1379 · 1576 · 1970 · 2660 · 2758 · 3743 · 3940 · 5320 · 5516 · 6895 · 7486 · 7880 · 11032 · 13790 · 14972 · 18715 · 26201 · 27580 · 29944 · 37430 · 52402 · 55160 · 74860 · 104804 · 131005 · 149720 · 209608 · 262010 · 524020 (half) · 1048040
Aliquot sum (sum of proper divisors): 1,803,160
Factor pairs (a × b = 1,048,040)
1 × 1048040
2 × 524020
4 × 262010
5 × 209608
7 × 149720
8 × 131005
10 × 104804
14 × 74860
19 × 55160
20 × 52402
28 × 37430
35 × 29944
38 × 27580
40 × 26201
56 × 18715
70 × 14972
76 × 13790
95 × 11032
133 × 7880
140 × 7486
152 × 6895
190 × 5516
197 × 5320
266 × 3940
280 × 3743
380 × 2758
394 × 2660
532 × 1970
665 × 1576
760 × 1379
788 × 1330
985 × 1064
First multiples
1,048,040 · 2,096,080 (double) · 3,144,120 · 4,192,160 · 5,240,200 · 6,288,240 · 7,336,280 · 8,384,320 · 9,432,360 · 10,480,400

Sums & aliquot sequence

As consecutive integers: 209,606 + 209,607 + 209,608 + 209,609 + 209,610 149,717 + 149,718 + … + 149,723 65,495 + 65,496 + … + 65,510 55,151 + 55,152 + … + 55,169
Aliquot sequence: 1,048,040 1,803,160 2,326,040 2,907,640 3,690,440 5,502,520 7,418,600 12,672,190 10,209,410 9,153,262 4,576,634 2,297,434 1,158,746 592,474 296,240 526,624 658,784 — unresolved within range

Continued fraction of √n

√1,048,040 = [1023; (1, 2, 1, 4, 1, 1, 3, 5, 1, 16, 12, 2, 2, 1, 5, 2, 1, 1, 50, 1, 1, 2, 5, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million forty-eight thousand forty
Ordinal
1048040th
Binary
11111111110111101000
Octal
3776750
Hexadecimal
0xFFDE8
Base64
D/3o
One's complement
4,293,919,255 (32-bit)
Scientific notation
1.04804 × 10⁶
As a duration
1,048,040 s = 12 days, 3 hours, 7 minutes, 20 seconds
In other bases
ternary (3) 1222020122022
quaternary (4) 3333313220
quinary (5) 232014130
senary (6) 34244012
septenary (7) 11623340
nonary (9) 1866568
undecimal (11) 656454
duodecimal (12) 426608
tridecimal (13) 2a9056
tetradecimal (14) 1d3d20
pentadecimal (15) 15a7e5

As an angle

1,048,040° = 2,911 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese
一百零四萬八千零四十
Chinese (financial)
壹佰零肆萬捌仟零肆拾
In other modern scripts
Eastern Arabic ١٠٤٨٠٤٠ Devanagari १०४८०४० Bengali ১০৪৮০৪০ Tamil ௧௦௪௮௦௪௦ Thai ๑๐๔๘๐๔๐ Tibetan ༡༠༤༨༠༤༠ Khmer ១០៤៨០៤០ Lao ໑໐໔໘໐໔໐ Burmese ၁၀၄၈၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048040, here are decompositions:

  • 13 + 1048027 = 1048040
  • 31 + 1048009 = 1048040
  • 43 + 1047997 = 1048040
  • 61 + 1047979 = 1048040
  • 79 + 1047961 = 1048040
  • 157 + 1047883 = 1048040
  • 181 + 1047859 = 1048040
  • 199 + 1047841 = 1048040

Showing the first eight; more decompositions exist.

Hex color
#0FFDE8
RGB(15, 253, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.253.232.

Address
0.15.253.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.253.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 8040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8040-04-01 (DMMYYYY (Euro, single-digit day))
  • 8040-10-04 (MMDYYYY (US, single-digit day))
  • 8040-04-10 (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 1,048,040 and was likely granted around 1912.

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

Position in π

The digit sequence 1048040 first appears in π at position 754,840 of the decimal expansion (the 754,840ordinal-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°.