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136830432 = 2534313307
BaseRepresentation
bin10000010011111…
…01110111100000
3100112110201001210
420021331313200
5240012033212
621324430120
73251016354
oct1011756740
9315421053
10136830432
1170267802
12399a8340
132246a76b
141425b464
15c02c53c
hex827dde0

136830432 has 48 divisors (see below), whose sum is σ = 360122112. Its totient is φ = 45490560.

The previous prime is 136830383. The next prime is 136830437. The reversal of 136830432 is 234038631.

136830432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 136830432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136830437) 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, 39723 + ... + 43029.

It is an arithmetic number, because the mean of its divisors is an integer number (7502544).

Almost surely, 2136830432 is an apocalyptic number.

136830432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136830432 is an abundant number, since it is smaller than the sum of its proper divisors (223291680).

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

136830432 is a wasteful number, since it uses less digits than its factorization.

136830432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 136830432 is about 11697.4540819787. The cubic root of 136830432 is about 515.3008980915.

The spelling of 136830432 in words is "one hundred thirty-six million, eight hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431 862 1293 1724 2586 3307 3448 5172 6614 6896 9921 10344 13228 13792 19842 20688 26456 39684 41376 52912 79368 105824 158736 317472 1425317 2850634 4275951 5701268 8551902 11402536 17103804 22805072 34207608 45610144 68415216 136830432