Base | Representation |
---|---|
bin | 1110101101001… |
… | …11111010000000 |
3 | 22121010220101100 |
4 | 13112213322000 |
5 | 223040334021 |
6 | 20124134400 |
7 | 3025431420 |
oct | 726477200 |
9 | 277126340 |
10 | 123371136 |
11 | 63704619 |
12 | 35397400 |
13 | 1c737495 |
14 | 12556480 |
15 | ac6e626 |
hex | 75a7e80 |
123371136 has 96 divisors (see below), whose sum is σ = 405756000. Its totient is φ = 35246592.
The previous prime is 123371113. The next prime is 123371153. The reversal of 123371136 is 631173321.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415 + ... + 15713.
It is an arithmetic number, because the mean of its divisors is an integer number (4226625).
Almost surely, 2123371136 is an apocalyptic number.
123371136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123371136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202878000).
123371136 is an abundant number, since it is smaller than the sum of its proper divisors (282384864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123371136 is a wasteful number, since it uses less digits than its factorization.
123371136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15326 (or 15311 counting only the distinct ones).
The product of its digits is 2268, while the sum is 27.
The square root of 123371136 is about 11107.2560067732. The cubic root of 123371136 is about 497.8186788482.
The spelling of 123371136 in words is "one hundred twenty-three million, three hundred seventy-one thousand, one hundred thirty-six".
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