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13432380 = 223513171013
BaseRepresentation
bin110011001111…
…011000111100
3221021102202120
4303033120330
511414314010
61155522540
7222113313
oct63173074
927242676
1013432380
117644a45
1245b9450
132a23c70
141ad927a
1512a4e70
hexccf63c

13432380 has 96 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3108864.

The previous prime is 13432337. The next prime is 13432387. The reversal of 13432380 is 8323431.

It is a self number, because there is not a number n which added to its sum of digits gives 13432380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12754 + ... + 13766.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 213432380 is an apocalyptic number.

13432380 is a gapful number since it is divisible by the number (10) 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 13432380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

13432380 is an abundant number, since it is smaller than the sum of its proper divisors (29496324).

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

13432380 is a wasteful number, since it uses less digits than its factorization.

13432380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1053 counting only the distinct ones).

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

The square root of 13432380 is about 3665.0211459144. The cubic root of 13432380 is about 237.7119363965.

The spelling of 13432380 in words is "thirteen million, four hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1013 1020 1105 1326 2026 2210 2652 3039 3315 4052 4420 5065 6078 6630 10130 12156 13169 13260 15195 17221 20260 26338 30390 34442 39507 51663 52676 60780 65845 68884 79014 86105 103326 131690 158028 172210 197535 206652 223873 258315 263380 344420 395070 447746 516630 671619 790140 895492 1033260 1119365 1343238 2238730 2686476 3358095 4477460 6716190 13432380