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13713288 = 23317192961
BaseRepresentation
bin110100010011…
…111110001000
3221210201002120
4310103332020
512002311123
61205531240
7224363301
oct64237610
927721076
1013713288
117816aa6
124713b20
132ac1a94
141b6d7a8
15130d2e3
hexd13f88

13713288 has 128 divisors (see below), whose sum is σ = 40176000. Its totient is φ = 3870720.

The previous prime is 13713281. The next prime is 13713299. The reversal of 13713288 is 88231731.

13713288 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 not an unprimeable number, because it can be changed into a prime (13713281) 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, 224778 + ... + 224838.

It is an arithmetic number, because the mean of its divisors is an integer number (313875).

Almost surely, 213713288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13713288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088000).

13713288 is an abundant number, since it is smaller than the sum of its proper divisors (26462712).

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

13713288 is a wasteful number, since it uses less digits than its factorization.

13713288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 13713288 is about 3703.1456898156. The cubic root of 13713288 is about 239.3575875324.

The spelling of 13713288 in words is "thirteen million, seven hundred thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 29 34 38 51 57 58 61 68 76 87 102 114 116 122 136 152 174 183 204 228 232 244 323 348 366 408 456 488 493 551 646 696 732 969 986 1037 1102 1159 1292 1464 1479 1653 1769 1938 1972 2074 2204 2318 2584 2958 3111 3306 3477 3538 3876 3944 4148 4408 4636 5307 5916 6222 6612 6954 7076 7752 8296 9272 9367 10614 11832 12444 13224 13908 14152 18734 19703 21228 24888 27816 28101 30073 33611 37468 39406 42456 56202 59109 60146 67222 74936 78812 90219 100833 112404 118218 120292 134444 157624 180438 201666 224808 236436 240584 268888 360876 403332 472872 571387 721752 806664 1142774 1714161 2285548 3428322 4571096 6856644 13713288