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13382232 = 2331929347
BaseRepresentation
bin110011000011…
…001001011000
3221011212222020
4303003021120
511411212412
61154454440
7221514153
oct63031130
927155866
1013382232
1176102a6
124594420
132a071a6
141ac4c9a
15129518c
hexcc3258

13382232 has 32 divisors (see below), whose sum is σ = 35217600. Its totient is φ = 4225824.

The previous prime is 13382227. The next prime is 13382233. The reversal of 13382232 is 23228331.

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

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 (13382233) 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, 14218 + ... + 15129.

It is an arithmetic number, because the mean of its divisors is an integer number (1100550).

Almost surely, 213382232 is an apocalyptic number.

13382232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13382232 is an abundant number, since it is smaller than the sum of its proper divisors (21835368).

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

13382232 is a wasteful number, since it uses less digits than its factorization.

13382232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29375 (or 29371 counting only the distinct ones).

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

The square root of 13382232 is about 3658.1733146476. The cubic root of 13382232 is about 237.4157455524.

It can be divided in two parts, 1338 and 2232, that added together give a triangular number (3570 = T84).

The spelling of 13382232 in words is "thirteen million, three hundred eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 29347 58694 88041 117388 176082 234776 352164 557593 704328 1115186 1672779 2230372 3345558 4460744 6691116 13382232