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136270976 = 271576781
BaseRepresentation
bin10000001111101…
…01010010000000
3100111102021122012
420013311102000
5234341132401
621304432052
73243166322
oct1007652200
9314367565
10136270976
116aa15446
1239778628
1322302c1a
1414153612
15be6b8bb
hex81f5480

136270976 has 32 divisors (see below), whose sum is σ = 273246780. Its totient is φ = 67691520.

The previous prime is 136270969. The next prime is 136270987. The reversal of 136270976 is 679072631.

It can be written as a sum of positive squares in 2 ways, for example, as 133633600 + 2637376 = 11560^2 + 1624^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16706 + ... + 23486.

Almost surely, 2136270976 is an apocalyptic number.

136270976 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 136270976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136623390).

136270976 is an abundant number, since it is smaller than the sum of its proper divisors (136975804).

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

136270976 is an equidigital number, since it uses as much as digits as its factorization.

136270976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 136270976 is about 11673.5160084698. The cubic root of 136270976 is about 514.5976384046.

The spelling of 136270976 in words is "one hundred thirty-six million, two hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 6781 10048 13562 20096 27124 54248 108496 216992 433984 867968 1064617 2129234 4258468 8516936 17033872 34067744 68135488 136270976