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13949112 = 23317179191
BaseRepresentation
bin110101001101…
…100010111000
3222020200120210
4311031202320
512032332422
61214551120
7226364652
oct65154270
928220523
1013949112
1179681a1
1248084a0
132b75218
141bd16d2
15135810c
hexd4d8b8

13949112 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 4328960.

The previous prime is 13949107. The next prime is 13949113. The reversal of 13949112 is 21194931.

13949112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13949112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13949113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72937 + ... + 73127.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 213949112 is an apocalyptic number.

13949112 is a gapful number since it is divisible by the number (12) 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 13949112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

13949112 is an abundant number, since it is smaller than the sum of its proper divisors (23375688).

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

13949112 is a wasteful number, since it uses less digits than its factorization.

13949112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 13949112 is about 3734.8510010441. The cubic root of 13949112 is about 240.7218544600.

The spelling of 13949112 in words is "thirteen million, nine hundred forty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 179 191 204 358 382 408 537 573 716 764 1074 1146 1432 1528 2148 2292 3043 3247 4296 4584 6086 6494 9129 9741 12172 12988 18258 19482 24344 25976 34189 36516 38964 68378 73032 77928 102567 136756 205134 273512 410268 581213 820536 1162426 1743639 2324852 3487278 4649704 6974556 13949112