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13238832 = 243833323
BaseRepresentation
bin110010100000…
…001000110000
3220220121021010
4302200020300
511342120312
61151430520
7220346115
oct62401060
926817233
1013238832
117522592
124525440
132986b39
141a8890c
15126793c
hexca0230

13238832 has 40 divisors (see below), whose sum is σ = 34622784. Its totient is φ = 4358464.

The previous prime is 13238831. The next prime is 13238857. The reversal of 13238832 is 23883231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13238832.

It is not an unprimeable number, because it can be changed into a prime (13238831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2323 + ... + 5645.

Almost surely, 213238832 is an apocalyptic number.

13238832 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 13238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17311392).

13238832 is an abundant number, since it is smaller than the sum of its proper divisors (21383952).

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

13238832 is a wasteful number, since it uses less digits than its factorization.

13238832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3411 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 13238832 is about 3638.5205784769. The cubic root of 13238832 is about 236.5646729283.

The spelling of 13238832 in words is "thirteen million, two hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3323 3984 6646 9969 13292 19938 26584 39876 53168 79752 159504 275809 551618 827427 1103236 1654854 2206472 3309708 4412944 6619416 13238832