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136932432 = 243713232947
BaseRepresentation
bin10000010100101…
…10110001010000
3100112122212222120
420022112301100
5240023314212
621330534240
73251622630
oct1012266120
9315585876
10136932432
11703273aa
1239a37380
13224a5010
14142866c0
15c04c88c
hex8296c50

136932432 has 320 divisors, whose sum is σ = 479969280. Its totient is φ = 32643072.

The previous prime is 136932431. The next prime is 136932437. The reversal of 136932432 is 234239631.

It is a junction number, because it is equal to n+sod(n) for n = 136932393 and 136932402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136932431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2913433 + ... + 2913479.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2136932432 is an apocalyptic number.

136932432 is a gapful number since it is divisible by the number (12) 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 136932432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

136932432 is an abundant number, since it is smaller than the sum of its proper divisors (343036848).

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

136932432 is a wasteful number, since it uses less digits than its factorization.

136932432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 136932432 is about 11701.8131928347. The cubic root of 136932432 is about 515.4289096647.

The spelling of 136932432 in words is "one hundred thirty-six million, nine hundred thirty-two thousand, four hundred thirty-two".