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136041432 = 23317931667
BaseRepresentation
bin10000001101111…
…01001111011000
3100110222121202120
420012331033120
5234311311212
621255501240
73241222152
oct1006751730
9313877676
10136041432
116a878a3a
1239687820
13222525b7
14140d3ad2
15be2388c
hex81bd3d8

136041432 has 32 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 45092384.

The previous prime is 136041431. The next prime is 136041443. The reversal of 136041432 is 234140631.

136041432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1360414322 = 37014542441221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136041431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11538 + ... + 20129.

It is an arithmetic number, because the mean of its divisors is an integer number (10687950).

Almost surely, 2136041432 is an apocalyptic number.

136041432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136041432 is an abundant number, since it is smaller than the sum of its proper divisors (205972968).

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

136041432 is a wasteful number, since it uses less digits than its factorization.

136041432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31855 (or 31851 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 136041432 is about 11663.6800367637. The cubic root of 136041432 is about 514.3085350544.

The spelling of 136041432 in words is "one hundred thirty-six million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 179 358 537 716 1074 1432 2148 4296 31667 63334 95001 126668 190002 253336 380004 760008 5668393 11336786 17005179 22673572 34010358 45347144 68020716 136041432