137,340
137,340 is a composite number, even.
137,340 (one hundred thirty-seven thousand three hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 7 × 109. Its proper divisors sum to 343,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2187C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 43,731
- Recamán's sequence
- a(37,484) = 137,340
- Square (n²)
- 18,862,275,600
- Cube (n³)
- 2,590,544,930,904,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 480,480
- φ(n) — Euler's totient
- 31,104
- Sum of prime factors
- 131
Primality
Prime factorization: 2 2 × 3 2 × 5 × 7 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,340 = [370; (1, 1, 2, 6, 2, 1, 1, 740)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand three hundred forty
- Ordinal
- 137340th
- Binary
- 100001100001111100
- Octal
- 414174
- Hexadecimal
- 0x2187C
- Base64
- Ahh8
- One's complement
- 4,294,829,955 (32-bit)
- Scientific notation
- 1.3734 × 10⁵
- As a duration
- 137,340 s = 1 day, 14 hours, 9 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζτμʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋧·𝋠
- Chinese
- 一十三萬七千三百四十
- Chinese (financial)
- 壹拾參萬柒仟參佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137340, here are decompositions:
- 19 + 137321 = 137340
- 37 + 137303 = 137340
- 61 + 137279 = 137340
- 67 + 137273 = 137340
- 89 + 137251 = 137340
- 101 + 137239 = 137340
- 131 + 137209 = 137340
- 139 + 137201 = 137340
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A1 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.124.
- Address
- 0.2.24.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.124
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,340 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 137340 first appears in π at position 29,294 of the decimal expansion (the 29,294ordinal-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°.