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13387104 = 2532234347
BaseRepresentation
bin110011000100…
…010101100000
3221012010122200
4303010111200
511411341404
61154533200
7221534313
oct63042540
927163580
1013387104
117613a25
124597200
132a09483
141ac697a
151296839
hexcc4560

13387104 has 144 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 4080384.

The previous prime is 13387097. The next prime is 13387117. The reversal of 13387104 is 40178331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284809 + ... + 284855.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 213387104 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 13387104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

13387104 is an abundant number, since it is smaller than the sum of its proper divisors (28126368).

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

13387104 is a wasteful number, since it uses less digits than its factorization.

13387104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13387104 is about 3658.8391601709. The cubic root of 13387104 is about 237.4445536309. Note that the first 3 decimals are identical.

The spelling of 13387104 in words is "thirteen million, three hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 47 48 69 72 86 92 94 96 129 138 141 144 172 184 188 207 258 276 282 288 344 368 376 387 414 423 516 552 564 688 736 752 774 828 846 989 1032 1081 1104 1128 1376 1504 1548 1656 1692 1978 2021 2064 2162 2208 2256 2967 3096 3243 3312 3384 3956 4042 4128 4324 4512 5934 6063 6192 6486 6624 6768 7912 8084 8648 8901 9729 11868 12126 12384 12972 13536 15824 16168 17296 17802 18189 19458 23736 24252 25944 31648 32336 34592 35604 36378 38916 46483 47472 48504 51888 64672 71208 72756 77832 92966 94944 97008 103776 139449 142416 145512 155664 185932 194016 278898 284832 291024 311328 371864 418347 557796 582048 743728 836694 1115592 1487456 1673388 2231184 3346776 4462368 6693552 13387104