Base | Representation |
---|---|
bin | 1100101100000… |
… | …01011111001100 |
3 | 21102021112111200 |
4 | 12112001133030 |
5 | 204221432211 |
6 | 14321145500 |
7 | 2431460442 |
oct | 626013714 |
9 | 242245450 |
10 | 106436556 |
11 | 550983a6 |
12 | 2b78b290 |
13 | 19088415 |
14 | 101c8b92 |
15 | 9526b56 |
hex | 65817cc |
106436556 has 36 divisors (see below), whose sum is σ = 283210200. Its totient is φ = 33611328.
The previous prime is 106436549. The next prime is 106436563. The reversal of 106436556 is 655634601.
106436556 is a `hidden beast` number, since 1 + 0 + 643 + 6 + 5 + 5 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (106436549) and next prime (106436563).
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1064365562 = 22657480906282272, 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 106436556.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77121 + ... + 78488.
It is an arithmetic number, because the mean of its divisors is an integer number (7866950).
Almost surely, 2106436556 is an apocalyptic number.
It is an amenable number.
106436556 is an abundant number, since it is smaller than the sum of its proper divisors (176773644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106436556 is a wasteful number, since it uses less digits than its factorization.
106436556 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155638 (or 155633 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
The square root of 106436556 is about 10316.8093905044. The cubic root of 106436556 is about 473.9111621150.
The spelling of 106436556 in words is "one hundred six million, four hundred thirty-six thousand, five hundred fifty-six".
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