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13975104 = 2631113509
BaseRepresentation
bin110101010011…
…111001000000
3222022000020110
4311103321000
512034200404
61215311320
7226533513
oct65237100
928260213
1013975104
117985780
12481b540
132b83cc0
141bdad7a
151360b89
hexd53e40

13975104 has 112 divisors (see below), whose sum is σ = 43525440. Its totient is φ = 3901440.

The previous prime is 13975103. The next prime is 13975109. The reversal of 13975104 is 40157931.

It is not an unprimeable number, because it can be changed into a prime (13975103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27202 + ... + 27710.

It is an arithmetic number, because the mean of its divisors is an integer number (388620).

Almost surely, 213975104 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 13975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762720).

13975104 is an abundant number, since it is smaller than the sum of its proper divisors (29550336).

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

13975104 is a wasteful number, since it uses less digits than its factorization.

13975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 13975104 is about 3738.3290384877. The cubic root of 13975104 is about 240.8712775975.

The spelling of 13975104 in words is "thirteen million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 509 528 572 624 704 832 858 1018 1056 1144 1248 1527 1716 2036 2112 2288 2496 3054 3432 4072 4576 5599 6108 6617 6864 8144 9152 11198 12216 13234 13728 16288 16797 19851 22396 24432 26468 27456 32576 33594 39702 44792 48864 52936 67188 72787 79404 89584 97728 105872 134376 145574 158808 179168 211744 218361 268752 291148 317616 358336 423488 436722 537504 582296 635232 873444 1075008 1164592 1270464 1746888 2329184 3493776 4658368 6987552 13975104