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13382172 = 2234103401
BaseRepresentation
bin110011000011…
…001000011100
3221011212220000
4303003020130
511411212142
61154454300
7221514036
oct63031034
927155800
1013382172
117610251
124594390
132a0715b
141ac4c56
15129514c
hexcc321c

13382172 has 60 divisors (see below), whose sum is σ = 35411376. Its totient is φ = 4406400.

The previous prime is 13382167. The next prime is 13382183. The reversal of 13382172 is 27128331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33172 + ... + 33572.

Almost surely, 213382172 is an apocalyptic number.

13382172 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 13382172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17705688).

13382172 is an abundant number, since it is smaller than the sum of its proper divisors (22029204).

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

13382172 is a wasteful number, since it uses less digits than its factorization.

13382172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13382172 is about 3658.1651138241. The cubic root of 13382172 is about 237.4153907295.

The spelling of 13382172 in words is "thirteen million, three hundred eighty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 309 324 401 412 618 802 927 1203 1236 1604 1854 2406 2781 3609 3708 4812 5562 7218 8343 10827 11124 14436 16686 21654 32481 33372 41303 43308 64962 82606 123909 129924 165212 247818 371727 495636 743454 1115181 1486908 2230362 3345543 4460724 6691086 13382172