135,740
135,740 is a composite number, even.
135,740 (one hundred thirty-five thousand seven hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 617. Its proper divisors sum to 175,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2123C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 47,531
- Square (n²)
- 18,425,347,600
- Cube (n³)
- 2,501,056,683,224,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 311,472
- φ(n) — Euler's totient
- 49,280
- Sum of prime factors
- 637
Primality
Prime factorization: 2 2 × 5 × 11 × 617
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,740 = [368; (2, 3, 38, 2, 66, 2, 38, 3, 2, 736)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand seven hundred forty
- Ordinal
- 135740th
- Binary
- 100001001000111100
- Octal
- 411074
- Hexadecimal
- 0x2123C
- Base64
- AhI8
- One's complement
- 4,294,831,555 (32-bit)
- Scientific notation
- 1.3574 × 10⁵
- As a duration
- 135,740 s = 1 day, 13 hours, 42 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλεψμʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋧·𝋠
- Chinese
- 一十三萬五千七百四十
- Chinese (financial)
- 壹拾參萬伍仟柒佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135740, here are decompositions:
- 13 + 135727 = 135740
- 19 + 135721 = 135740
- 43 + 135697 = 135740
- 79 + 135661 = 135740
- 103 + 135637 = 135740
- 127 + 135613 = 135740
- 139 + 135601 = 135740
- 151 + 135589 = 135740
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 88 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.60.
- Address
- 0.2.18.60
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.18.60
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 135,740 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 135740 first appears in π at position 914,194 of the decimal expansion (the 914,194ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.