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136568016 = 24321372953
BaseRepresentation
bin10000010001111…
…01110011010000
3100111222101002200
420020331303100
5234430134031
621315043200
73245544324
oct1010756320
9314871080
10136568016
11700a8632
12398a0500
13223a81a0
14141cd984
15bec98e6
hex823dcd0

136568016 has 60 divisors (see below), whose sum is σ = 411606468. Its totient is φ = 42020352.

The previous prime is 136567993. The next prime is 136568017. The reversal of 136568016 is 610865631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 96118416 = 6360^2 + 9804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136568017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34605 + ... + 38348.

Almost surely, 2136568016 is an apocalyptic number.

136568016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136568016 is an abundant number, since it is smaller than the sum of its proper divisors (275038452).

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

136568016 is a wasteful number, since it uses less digits than its factorization.

136568016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72980 (or 72971 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136568016 is about 11686.2318991196. The cubic root of 136568016 is about 514.9712693307.

The spelling of 136568016 in words is "one hundred thirty-six million, five hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 72953 145906 218859 291812 437718 583624 656577 875436 948389 1167248 1313154 1750872 1896778 2626308 2845167 3501744 3793556 5252616 5690334 7587112 8535501 10505232 11380668 15174224 17071002 22761336 34142004 45522672 68284008 136568016