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13874856 = 23317311097
BaseRepresentation
bin110100111011…
…011010101000
3222002220201120
4310323122220
512022443411
61213215240
7225635322
oct64733250
928086646
1013874856
117917426
124791520
132b4a498
141bb2612
151341106
hexd3b6a8

13874856 has 64 divisors (see below), whose sum is σ = 37946880. Its totient is φ = 4208640.

The previous prime is 13874803. The next prime is 13874857. The reversal of 13874856 is 65847831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13874857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12100 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (592920).

Almost surely, 213874856 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 13874856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973440).

13874856 is an abundant number, since it is smaller than the sum of its proper divisors (24072024).

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

13874856 is a wasteful number, since it uses less digits than its factorization.

13874856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1150 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 13874856 is about 3724.8967770933. The cubic root of 13874856 is about 240.2939453924.

The spelling of 13874856 in words is "thirteen million, eight hundred seventy-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1097 1581 2108 2194 3162 3291 4216 4388 6324 6582 8776 12648 13164 18649 26328 34007 37298 55947 68014 74596 102021 111894 136028 149192 204042 223788 272056 408084 447576 578119 816168 1156238 1734357 2312476 3468714 4624952 6937428 13874856