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206265136 = 24711167423
BaseRepresentation
bin11000100101101…
…01101100110000
3112101010100120111
430102311230300
5410300441021
632244551104
75053140040
oct1422655460
9471110514
10206265136
11a6482060
12590b2494
133396bb9c
141d573720
15131958e1
hexc4b5b30

206265136 has 40 divisors (see below), whose sum is σ = 498253824. Its totient is φ = 80362560.

The previous prime is 206265119. The next prime is 206265149. The reversal of 206265136 is 631562602.

It is a junction number, because it is equal to n+sod(n) for n = 206265098 and 206265107.

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 7 ways as a sum of consecutive naturals, for example, 82480 + ... + 84943.

Almost surely, 2206265136 is an apocalyptic number.

It is an amenable number.

206265136 is an abundant number, since it is smaller than the sum of its proper divisors (291988688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206265136 is a wasteful number, since it uses less digits than its factorization.

206265136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167449 (or 167443 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 206265136 is about 14361.9335745574. The cubic root of 206265136 is about 590.8473279653.

The spelling of 206265136 in words is "two hundred six million, two hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 167423 334846 669692 1171961 1339384 1841653 2343922 2678768 3683306 4687844 7366612 9375688 12891571 14733224 18751376 25783142 29466448 51566284 103132568 206265136