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13438680 = 2335532113
BaseRepresentation
bin110011010000…
…111011011000
3221021202101220
4303100323120
511420014210
61200012040
7222140553
oct63207330
927252356
1013438680
117649752
124601020
132a26aa8
141adb69a
1512a6c70
hexcd0ed8

13438680 has 64 divisors (see below), whose sum is σ = 41096160. Its totient is φ = 3514368.

The previous prime is 13438679. The next prime is 13438697. The reversal of 13438680 is 8683431.

13438680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304 + ... + 7416.

Almost surely, 213438680 is an apocalyptic number.

13438680 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 13438680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548080).

13438680 is an abundant number, since it is smaller than the sum of its proper divisors (27657480).

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

13438680 is a wasteful number, since it uses less digits than its factorization.

13438680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13438680 is about 3665.8805217846. The cubic root of 13438680 is about 237.7490941484.

The spelling of 13438680 in words is "thirteen million, four hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2113 2120 3180 4226 6339 6360 8452 10565 12678 16904 21130 25356 31695 42260 50712 63390 84520 111989 126780 223978 253560 335967 447956 559945 671934 895912 1119890 1343868 1679835 2239780 2687736 3359670 4479560 6719340 13438680