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10,128

10,128 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.).

10,128 (ten thousand one hundred twenty-eight) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 211. Its proper divisors sum to 16,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2790.

Abundant Number Evil Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
82,101
Recamán's sequence
a(5,515) = 10,128
Square (n²)
102,576,384
Cube (n³)
1,038,893,617,152
Divisor count
20
σ(n) — sum of divisors
26,288
φ(n) — Euler's totient
3,360
Sum of prime factors
222

Primality

Prime factorization: 2 4 × 3 × 211

Nearest primes: 10,111 (−17) · 10,133 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 211 · 422 · 633 · 844 · 1266 · 1688 · 2532 · 3376 · 5064 (half) · 10128
Aliquot sum (sum of proper divisors): 16,160
Factor pairs (a × b = 10,128)
1 × 10128
2 × 5064
3 × 3376
4 × 2532
6 × 1688
8 × 1266
12 × 844
16 × 633
24 × 422
48 × 211
First multiples
10,128 · 20,256 (double) · 30,384 · 40,512 · 50,640 · 60,768 · 70,896 · 81,024 · 91,152 · 101,280

Sums & aliquot sequence

As consecutive integers: 3,375 + 3,376 + 3,377 301 + 302 + … + 332 58 + 59 + … + 153
Aliquot sequence: 10,128 16,160 22,396 20,444 17,356 13,024 15,704 16,216 14,204 11,500 14,708 11,038 5,522 3,550 3,146 2,440 3,140 — unresolved within range

Continued fraction of √n

√10,128 = [100; (1, 1, 1, 3, 4, 1, 7, 1, 15, 1, 7, 1, 4, 3, 1, 1, 1, 200)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
ten thousand one hundred twenty-eight
Ordinal
10128th
Binary
10011110010000
Octal
23620
Hexadecimal
0x2790
Base64
J5A=
One's complement
55,407 (16-bit)
Scientific notation
1.0128 × 10⁴
As a duration
10,128 s = 2 hours, 48 minutes, 48 seconds
In other bases
ternary (3) 111220010
quaternary (4) 2132100
quinary (5) 311003
senary (6) 114520
septenary (7) 41346
nonary (9) 14803
undecimal (11) 7678
duodecimal (12) 5a40
tridecimal (13) 47c1
tetradecimal (14) 3996
pentadecimal (15) 3003
Palindromic in base 15

As an angle

10,128° = 28 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιρκηʹ
Mayan (base 20)
𝋡·𝋥·𝋦·𝋨
Chinese
一萬零一百二十八
Chinese (financial)
壹萬零壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٠١٢٨ Devanagari १०१२८ Bengali ১০১২৮ Tamil ௧௦௧௨௮ Thai ๑๐๑๒๘ Tibetan ༡༠༡༢༨ Khmer ១០១២៨ Lao ໑໐໑໒໘ Burmese ၁၀၁၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 10,128 = 5
e — Euler's number (e)
Digit 10,128 = 5
φ — Golden ratio (φ)
Digit 10,128 = 5
√2 — Pythagoras's (√2)
Digit 10,128 = 3
ln 2 — Natural log of 2
Digit 10,128 = 0
γ — Euler-Mascheroni (γ)
Digit 10,128 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10128, here are decompositions:

  • 17 + 10111 = 10128
  • 29 + 10099 = 10128
  • 37 + 10091 = 10128
  • 59 + 10069 = 10128
  • 61 + 10067 = 10128
  • 67 + 10061 = 10128
  • 89 + 10039 = 10128
  • 179 + 9949 = 10128

Showing the first eight; more decompositions exist.

Unicode codepoint
Dingbat Negative Circled Sans-Serif Digit Seven
U+2790
Other number (No)

UTF-8 encoding: E2 9E 90 (3 bytes).

Hex color
#002790
RGB(0, 39, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.144.

Address
0.0.39.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.144

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

Musical pitch

Heard as a frequency, 10,128 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +30¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -33¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +31¢)
Position in π

The digit sequence 10128 first appears in π at position 91,854 of the decimal expansion (the 91,854ordinal-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°.