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136293696 = 26327211439
BaseRepresentation
bin10000001111110…
…10110101000000
3100111110102210200
420013322311000
5234342344241
621305125200
73243322500
oct1007726500
9314412720
10136293696
116aa30520
1239789800
1322310376
141415ba00
15be734b6
hex81fad40

136293696 has 252 divisors, whose sum is σ = 496884960. Its totient is φ = 35320320.

The previous prime is 136293683. The next prime is 136293697. The reversal of 136293696 is 696392631.

It is a happy number.

136293696 is a `hidden beast` number, since 13 + 629 + 3 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136293697) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310245 + ... + 310683.

Almost surely, 2136293696 is an apocalyptic number.

136293696 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 136293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248442480).

136293696 is an abundant number, since it is smaller than the sum of its proper divisors (360591264).

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

136293696 is a wasteful number, since it uses less digits than its factorization.

136293696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 136293696 is about 11674.4891108776. The cubic root of 136293696 is about 514.6262358580.

The spelling of 136293696 in words is "one hundred thirty-six million, two hundred ninety-three thousand, six hundred ninety-six".