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67,140

67,140 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.).
Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
4,176
Recamán's sequence
a(283,300) = 67,140
Square (n²)
4,507,779,600
Cube (n³)
302,652,322,344,000
Divisor count
36
σ(n) — sum of divisors
204,204
φ(n) — Euler's totient
17,856
Sum of prime factors
388

Primality

Prime factorization: 2 2 × 3 2 × 5 × 373

Nearest primes: 67,139 (−1) · 67,141 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 373 · 746 · 1119 · 1492 · 1865 · 2238 · 3357 · 3730 · 4476 · 5595 · 6714 · 7460 · 11190 · 13428 · 16785 · 22380 · 33570 (half) · 67140
Aliquot sum (sum of proper divisors): 137,064
Factor pairs (a × b = 67,140)
1 × 67140
2 × 33570
3 × 22380
4 × 16785
5 × 13428
6 × 11190
9 × 7460
10 × 6714
12 × 5595
15 × 4476
18 × 3730
20 × 3357
30 × 2238
36 × 1865
45 × 1492
60 × 1119
90 × 746
180 × 373
First multiples
67,140 · 134,280 (double) · 201,420 · 268,560 · 335,700 · 402,840 · 469,980 · 537,120 · 604,260 · 671,400

Sums & aliquot sequence

As a sum of two squares: 24² + 258² = 174² + 192²
As consecutive integers: 22,379 + 22,380 + 22,381 13,426 + 13,427 + 13,428 + 13,429 + 13,430 8,389 + 8,390 + … + 8,396 7,456 + 7,457 + … + 7,464
Aliquot sequence: 67,140 137,064 205,656 399,144 598,776 926,424 1,647,576 3,554,244 5,430,186 6,637,014 7,943,058 9,266,940 19,785,300 37,461,036 51,598,788 68,798,412 111,565,044 — unresolved within range

Representations

In words
sixty-seven thousand one hundred forty
Ordinal
67140th
Binary
10000011001000100
Octal
203104
Hexadecimal
0x10644
Base64
AQZE
One's complement
4,294,900,155 (32-bit)
In other bases
ternary (3) 10102002200
quaternary (4) 100121010
quinary (5) 4122030
senary (6) 1234500
septenary (7) 366513
nonary (9) 112080
undecimal (11) 46497
duodecimal (12) 32a30
tridecimal (13) 24738
tetradecimal (14) 1a67a
pentadecimal (15) 14d60

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ξζρμʹ
Mayan (base 20)
𝋨·𝋧·𝋱·𝋠
Chinese
六萬七千一百四十
Chinese (financial)
陸萬柒仟壹佰肆拾
In other modern scripts
Eastern Arabic ٦٧١٤٠ Devanagari ६७१४० Bengali ৬৭১৪০ Tamil ௬௭௧௪௦ Thai ๖๗๑๔๐ Tibetan ༦༧༡༤༠ Khmer ៦៧១៤០ Lao ໖໗໑໔໐ Burmese ၆၇၁၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 67,140 = 9
e — Euler's number (e)
Digit 67,140 = 2
φ — Golden ratio (φ)
Digit 67,140 = 6
√2 — Pythagoras's (√2)
Digit 67,140 = 5
ln 2 — Natural log of 2
Digit 67,140 = 6
γ — Euler-Mascheroni (γ)
Digit 67,140 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 67140, here are decompositions:

  • 11 + 67129 = 67140
  • 19 + 67121 = 67140
  • 37 + 67103 = 67140
  • 61 + 67079 = 67140
  • 67 + 67073 = 67140
  • 79 + 67061 = 67140
  • 83 + 67057 = 67140
  • 97 + 67043 = 67140

Showing the first eight; more decompositions exist.

Unicode codepoint
𐙄
Linear A Sign Ab085
U+10644
Other letter (Lo)

UTF-8 encoding: F0 90 99 84 (4 bytes).

Hex color
#010644
RGB(1, 6, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.6.68.

Address
0.1.6.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.6.68

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000067140
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 67140 first appears in π at position 53,105 of the decimal expansion (the 53,105ordinal-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.