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1,010,408

1,010,408 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.).

1,010,408 (one million ten thousand four hundred eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 18,043. Its proper divisors sum to 1,154,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6AE8.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
8,040,101
Square (n²)
1,020,924,326,464
Cube (n³)
1,031,550,106,853,837,312
Divisor count
16
σ(n) — sum of divisors
2,165,280
φ(n) — Euler's totient
433,008
Sum of prime factors
18,056

Primality

Prime factorization: 2 3 × 7 × 18043

Nearest primes: 1,010,407 (−1) · 1,010,411 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 18043 · 36086 · 72172 · 126301 · 144344 · 252602 · 505204 (half) · 1010408
Aliquot sum (sum of proper divisors): 1,154,872
Factor pairs (a × b = 1,010,408)
1 × 1010408
2 × 505204
4 × 252602
7 × 144344
8 × 126301
14 × 72172
28 × 36086
56 × 18043
First multiples
1,010,408 · 2,020,816 (double) · 3,031,224 · 4,041,632 · 5,052,040 · 6,062,448 · 7,072,856 · 8,083,264 · 9,093,672 · 10,104,080

Sums & aliquot sequence

As consecutive integers: 144,341 + 144,342 + … + 144,347 63,143 + 63,144 + … + 63,158 8,966 + 8,967 + … + 9,077
Aliquot sequence: 1,010,408 1,154,872 1,023,128 1,008,352 976,904 951,496 1,245,944 1,566,856 1,631,024 1,529,116 1,343,684 1,018,060 1,144,100 1,488,544 1,469,684 1,253,680 1,661,312 — unresolved within range

Continued fraction of √n

√1,010,408 = [1005; (5, 4, 42, 1, 1, 6, 2, 4, 1, 1, 4, 1, 1, 2, 4, 5, 2, 1, 13, 2, 1, 2, 4, 1, …)]

Representations

In words
one million ten thousand four hundred eight
Ordinal
1010408th
Binary
11110110101011101000
Octal
3665350
Hexadecimal
0xF6AE8
Base64
D2ro
One's complement
4,293,956,887 (32-bit)
Scientific notation
1.010408 × 10⁶
As a duration
1,010,408 s = 11 days, 16 hours, 40 minutes, 8 seconds
In other bases
ternary (3) 1220100000112
quaternary (4) 3312223220
quinary (5) 224313113
senary (6) 33353452
septenary (7) 11405540
nonary (9) 1810015
undecimal (11) 630153
duodecimal (12) 408888
tridecimal (13) 294b99
tetradecimal (14) 1c4320
pentadecimal (15) 14e5a8

As an angle

1,010,408° = 2,806 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬零四百零八
Chinese (financial)
壹佰零壹萬零肆佰零捌
In other modern scripts
Eastern Arabic ١٠١٠٤٠٨ Devanagari १०१०४०८ Bengali ১০১০৪০৮ Tamil ௧௦௧௦௪௦௮ Thai ๑๐๑๐๔๐๘ Tibetan ༡༠༡༠༤༠༨ Khmer ១០១០៤០៨ Lao ໑໐໑໐໔໐໘ Burmese ၁၀၁၀၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010408, here are decompositions:

  • 79 + 1010329 = 1010408
  • 229 + 1010179 = 1010408
  • 241 + 1010167 = 1010408
  • 277 + 1010131 = 1010408
  • 457 + 1009951 = 1010408
  • 499 + 1009909 = 1010408
  • 571 + 1009837 = 1010408
  • 601 + 1009807 = 1010408

Showing the first eight; more decompositions exist.

Hex color
#0F6AE8
RGB(15, 106, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.232.

Address
0.15.106.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.106.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 0408 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0408-10-01 (MMDYYYY (US, single-digit day))
  • 0408-01-10 (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 1,010,408 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°.