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14,160

14,160 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.).

14,160 (fourteen thousand one hundred sixty) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 59. Its proper divisors sum to 30,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3750.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number 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
6,141
Recamán's sequence
a(20,396) = 14,160
Square (n²)
200,505,600
Cube (n³)
2,839,159,296,000
Divisor count
40
σ(n) — sum of divisors
44,640
φ(n) — Euler's totient
3,712
Sum of prime factors
75

Primality

Prime factorization: 2 4 × 3 × 5 × 59

Nearest primes: 14,159 (−1) · 14,173 (+13)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 59 · 60 · 80 · 118 · 120 · 177 · 236 · 240 · 295 · 354 · 472 · 590 · 708 · 885 · 944 · 1180 · 1416 · 1770 · 2360 · 2832 · 3540 · 4720 · 7080 (half) · 14160
Aliquot sum (sum of proper divisors): 30,480
Factor pairs (a × b = 14,160)
1 × 14160
2 × 7080
3 × 4720
4 × 3540
5 × 2832
6 × 2360
8 × 1770
10 × 1416
12 × 1180
15 × 944
16 × 885
20 × 708
24 × 590
30 × 472
40 × 354
48 × 295
59 × 240
60 × 236
80 × 177
118 × 120
First multiples
14,160 · 28,320 (double) · 42,480 · 56,640 · 70,800 · 84,960 · 99,120 · 113,280 · 127,440 · 141,600

Sums & aliquot sequence

As consecutive integers: 4,719 + 4,720 + 4,721 2,830 + 2,831 + 2,832 + 2,833 + 2,834 937 + 938 + … + 951 427 + 428 + … + 458
Aliquot sequence: 14,160 30,480 64,752 113,808 180,320 336,784 440,944 574,864 655,216 656,208 1,605,552 3,060,816 6,438,576 10,734,928 11,692,208 13,829,968 13,830,960 — unresolved within range

Continued fraction of √n

√14,160 = [118; (1, 236)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand one hundred sixty
Ordinal
14160th
Binary
11011101010000
Octal
33520
Hexadecimal
0x3750
Base64
N1A=
One's complement
51,375 (16-bit)
Scientific notation
1.416 × 10⁴
As a duration
14,160 s = 3 hours, 56 minutes
In other bases
ternary (3) 201102110
quaternary (4) 3131100
quinary (5) 423120
senary (6) 145320
septenary (7) 56166
nonary (9) 21373
undecimal (11) a703
duodecimal (12) 8240
tridecimal (13) 65a3
tetradecimal (14) 5236
pentadecimal (15) 42e0

As an angle

14,160° = 39 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιδρξʹ
Mayan (base 20)
𝋡·𝋯·𝋨·𝋠
Chinese
一萬四千一百六十
Chinese (financial)
壹萬肆仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٤١٦٠ Devanagari १४१६० Bengali ১৪১৬০ Tamil ௧௪௧௬௦ Thai ๑๔๑๖๐ Tibetan ༡༤༡༦༠ Khmer ១៤១៦០ Lao ໑໔໑໖໐ Burmese ၁၄၁၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 14,160 = 4
e — Euler's number (e)
Digit 14,160 = 7
φ — Golden ratio (φ)
Digit 14,160 = 6
√2 — Pythagoras's (√2)
Digit 14,160 = 4
ln 2 — Natural log of 2
Digit 14,160 = 2
γ — Euler-Mascheroni (γ)
Digit 14,160 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14160, here are decompositions:

  • 7 + 14153 = 14160
  • 11 + 14149 = 14160
  • 17 + 14143 = 14160
  • 53 + 14107 = 14160
  • 73 + 14087 = 14160
  • 79 + 14081 = 14160
  • 89 + 14071 = 14160
  • 103 + 14057 = 14160

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3750
U+3750
Other letter (Lo)

UTF-8 encoding: E3 9D 90 (3 bytes).

Hex color
#003750
RGB(0, 55, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.55.80.

Address
0.0.55.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.55.80

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

Musical pitch

Heard as a frequency, 14,160 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +10¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +47¢ — about midway to A♯9)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +11¢)
Position in π

The digit sequence 14160 first appears in π at position 154,600 of the decimal expansion (the 154,600ordinal-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°.