Base | Representation |
---|---|
bin | 1100101011000… |
… | …11100000000100 |
3 | 21102001022000122 |
4 | 12111203200010 |
5 | 204204014412 |
6 | 14314401112 |
7 | 2430436400 |
oct | 625434004 |
9 | 242038018 |
10 | 106313732 |
11 | 55014098 |
12 | 2b730198 |
13 | 19044545 |
14 | 10196100 |
15 | 9500572 |
hex | 6563804 |
106313732 has 36 divisors (see below), whose sum is σ = 218179584. Its totient is φ = 45193680.
The previous prime is 106313729. The next prime is 106313741. The reversal of 106313732 is 237313601.
It is a super-2 number, since 2×1063137322 = 22605219223535648, which contains 22 as substring.
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, 22757 + ... + 27027.
It is an arithmetic number, because the mean of its divisors is an integer number (6060544).
Almost surely, 2106313732 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 106313732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109089792).
106313732 is an abundant number, since it is smaller than the sum of its proper divisors (111865852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106313732 is a wasteful number, since it uses less digits than its factorization.
106313732 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4416 (or 4407 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 26.
The square root of 106313732 is about 10310.8550566866. The cubic root of 106313732 is about 473.7287997419.
The spelling of 106313732 in words is "one hundred six million, three hundred thirteen thousand, seven hundred thirty-two".
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