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13738725 = 32527111361
BaseRepresentation
bin110100011010…
…001011100101
3221211222222200
4310122023211
512004114400
61210245113
7224530410
oct64321345
927758880
1013738725
117834120
124726799
132b00530
141b78b77
151315b00
hexd1a2e5

13738725 has 144 divisors (see below), whose sum is σ = 33581184. Its totient is φ = 5184000.

The previous prime is 13738717. The next prime is 13738849. The reversal of 13738725 is 52783731.

13738725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13738725 - 23 = 13738717 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13738725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225195 + ... + 225255.

Almost surely, 213738725 is an apocalyptic number.

13738725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13738725 is an abundant number, since it is smaller than the sum of its proper divisors (19842459).

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

13738725 is a wasteful number, since it uses less digits than its factorization.

13738725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 13738725 is about 3706.5786110644. The cubic root of 13738725 is about 239.5054922083.

The spelling of 13738725 in words is "thirteen million, seven hundred thirty-eight thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 11 13 15 21 25 33 35 39 45 55 61 63 65 75 77 91 99 105 117 143 165 175 183 195 225 231 273 275 305 315 325 385 427 429 455 495 525 549 585 671 693 715 793 819 825 915 975 1001 1155 1281 1287 1365 1525 1575 1925 2013 2135 2145 2275 2379 2475 2745 2925 3003 3355 3465 3575 3843 3965 4095 4575 4697 5005 5551 5775 6039 6405 6435 6825 7137 8723 9009 10065 10675 10725 11895 13725 14091 15015 16653 16775 17325 19215 19825 20475 23485 25025 26169 27755 30195 32025 32175 35685 42273 43615 45045 49959 50325 59475 61061 70455 75075 78507 83265 96075 117425 130845 138775 150975 178425 183183 211365 218075 225225 249795 305305 352275 392535 416325 549549 654225 915915 1056825 1248975 1526525 1962675 2747745 4579575 13738725