Base | Representation |
---|---|
bin | 1100110001001… |
… | …01000110000100 |
3 | 21110112120202112 |
4 | 12120211012010 |
5 | 204404403232 |
6 | 14343400152 |
7 | 2440251260 |
oct | 630450604 |
9 | 243476675 |
10 | 107106692 |
11 | 55505930 |
12 | 2ba53058 |
13 | 19261454 |
14 | 103210a0 |
15 | 960a4b2 |
hex | 6625184 |
107106692 has 48 divisors (see below), whose sum is σ = 234638208. Its totient is φ = 41560320.
The previous prime is 107106691. The next prime is 107106707. The reversal of 107106692 is 296601701.
It is a happy number.
It is a super-2 number, since 2×1071066922 = 22943686942365728, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (107106691) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97088 + ... + 98184.
It is an arithmetic number, because the mean of its divisors is an integer number (4888296).
Almost surely, 2107106692 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 107106692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117319104).
107106692 is an abundant number, since it is smaller than the sum of its proper divisors (127531516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107106692 is a wasteful number, since it uses less digits than its factorization.
107106692 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1436 (or 1434 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 32.
The square root of 107106692 is about 10349.2363003267. The cubic root of 107106692 is about 474.9036805622.
The spelling of 107106692 in words is "one hundred seven million, one hundred six thousand, six hundred ninety-two".
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