137,430
137,430 is a composite number, even.
137,430 (one hundred thirty-seven thousand four hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 5 × 509. Its proper divisors sum to 229,770, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218D6.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 34,731
- Square (n²)
- 18,887,004,900
- Cube (n³)
- 2,595,641,083,407,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 367,200
- φ(n) — Euler's totient
- 36,576
- Sum of prime factors
- 525
Primality
Prime factorization: 2 × 3 3 × 5 × 509
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,430 = [370; (1, 2, 1, 1, 15, 1, 9, 1, 1, 81, 1, 6, 148, 6, 1, 81, 1, 1, 9, 1, 15, 1, 1, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred thirty
- Ordinal
- 137430th
- Binary
- 100001100011010110
- Octal
- 414326
- Hexadecimal
- 0x218D6
- Base64
- AhjW
- One's complement
- 4,294,829,865 (32-bit)
- Scientific notation
- 1.3743 × 10⁵
- As a duration
- 137,430 s = 1 day, 14 hours, 10 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζυλʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋫·𝋪
- Chinese
- 一十三萬七千四百三十
- Chinese (financial)
- 壹拾參萬柒仟肆佰參拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137430, here are decompositions:
- 17 + 137413 = 137430
- 31 + 137399 = 137430
- 37 + 137393 = 137430
- 43 + 137387 = 137430
- 47 + 137383 = 137430
- 61 + 137369 = 137430
- 67 + 137363 = 137430
- 71 + 137359 = 137430
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A3 96 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.214.
- Address
- 0.2.24.214
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.214
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 137,430 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 137430 first appears in π at position 752,620 of the decimal expansion (the 752,620ordinal-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°.