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13973904 = 243374621
BaseRepresentation
bin110101010011…
…100110010000
3222021221121000
4311103212100
512034131104
61215302000
7226530150
oct65234620
928257530
1013973904
11798488a
12481a900
132b835a9
141bda760
151360639
hexd53990

13973904 has 80 divisors (see below), whose sum is σ = 45850240. Its totient is φ = 3991680.

The previous prime is 13973891. The next prime is 13973929. The reversal of 13973904 is 40937931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 714 + ... + 5334.

It is an arithmetic number, because the mean of its divisors is an integer number (573128).

Almost surely, 213973904 is an apocalyptic number.

13973904 is a gapful number since it is divisible by the number (14) 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 13973904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22925120).

13973904 is an abundant number, since it is smaller than the sum of its proper divisors (31876336).

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

13973904 is a wasteful number, since it uses less digits than its factorization.

13973904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 13973904 is about 3738.1685355265. The cubic root of 13973904 is about 240.8643831036.

The spelling of 13973904 in words is "thirteen million, nine hundred seventy-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4621 9242 13863 18484 27726 32347 36968 41589 55452 64694 73936 83178 97041 110904 124767 129388 166356 194082 221808 249534 258776 291123 332712 388164 499068 517552 582246 665424 776328 873369 998136 1164492 1552656 1746738 1996272 2328984 3493476 4657968 6986952 13973904