Base | Representation |
---|---|
bin | 1100101100110… |
… | …00111010010000 |
3 | 21102110102010000 |
4 | 12112120322100 |
5 | 204233014441 |
6 | 14323210000 |
7 | 2432340240 |
oct | 626307220 |
9 | 242412100 |
10 | 106532496 |
11 | 55153494 |
12 | 2b816900 |
13 | 190bcca5 |
14 | 10211b20 |
15 | 95452b6 |
hex | 6598e90 |
106532496 has 100 divisors (see below), whose sum is σ = 352413952. Its totient is φ = 30435264.
The previous prime is 106532483. The next prime is 106532501. The reversal of 106532496 is 694235601.
It is a happy number.
It is a super-2 number, since 2×1065324962 = 22698345407980032, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 106532496.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3201 + ... + 14943.
Almost surely, 2106532496 is an apocalyptic number.
106532496 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 106532496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176206976).
106532496 is an abundant number, since it is smaller than the sum of its proper divisors (245881456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106532496 is a wasteful number, since it uses less digits than its factorization.
106532496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11770 (or 11755 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 106532496 is about 10321.4580365373. The cubic root of 106532496 is about 474.0535110234.
The spelling of 106532496 in words is "one hundred six million, five hundred thirty-two thousand, four hundred ninety-six".
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