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13687856 = 2472131779
BaseRepresentation
bin110100001101…
…110000110000
3221202102012122
4310031300300
512001002411
61205213412
7224226200
oct64156060
927672178
1013687856
1177a9986
124701268
132ab3330
141b64400
1513059db
hexd0dc30

13687856 has 120 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 5031936.

The previous prime is 13687853. The next prime is 13687859. The reversal of 13687856 is 65878631.

It is an interprime number because it is at equal distance from previous prime (13687853) and next prime (13687859).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13687853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173225 + ... + 173303.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 213687856 is an apocalyptic number.

13687856 is a gapful number since it is divisible by the number (16) 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 13687856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13687856 is an abundant number, since it is smaller than the sum of its proper divisors (21934864).

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

13687856 is a wasteful number, since it uses less digits than its factorization.

13687856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 13687856 is about 3699.7102589257. The cubic root of 13687856 is about 239.2095289694.

The spelling of 13687856 in words is "thirteen million, six hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 49 52 56 68 79 91 98 104 112 119 136 158 182 196 208 221 238 272 316 364 392 442 476 553 632 637 728 784 833 884 952 1027 1106 1264 1274 1343 1456 1547 1666 1768 1904 2054 2212 2548 2686 3094 3332 3536 3871 4108 4424 5096 5372 6188 6664 7189 7742 8216 8848 9401 10192 10744 10829 12376 13328 14378 15484 16432 17459 18802 21488 21658 24752 28756 30968 34918 37604 43316 50323 57512 61936 65807 69836 75208 86632 100646 115024 122213 131614 139672 150416 173264 201292 244426 263228 279344 402584 488852 526456 805168 855491 977704 1052912 1710982 1955408 3421964 6843928 13687856