Search a number
-
+
14991936 = 263113691
BaseRepresentation
bin111001001100…
…001001000000
31001012200001220
4321030021000
512314220221
61253155040
7241300161
oct71141100
931180056
1014991936
11850a733
12502ba80
13314ba8b
141dc3768
1514b20c6
hexe4c240

14991936 has 56 divisors (see below), whose sum is σ = 40075104. Its totient is φ = 4945920.

The previous prime is 14991917. The next prime is 14991947. The reversal of 14991936 is 63919941.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21351 + ... + 22041.

Almost surely, 214991936 is an apocalyptic number.

14991936 is a gapful number since it is divisible by the number (16) 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 14991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037552).

14991936 is an abundant number, since it is smaller than the sum of its proper divisors (25083168).

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

14991936 is a wasteful number, since it uses less digits than its factorization.

14991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its digits is 52488, while the sum is 42.

The square root of 14991936 is about 3871.9421483281. The cubic root of 14991936 is about 246.5770049907.

The spelling of 14991936 in words is "fourteen million, nine hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 691 904 1356 1382 1808 2073 2712 2764 3616 4146 5424 5528 7232 8292 10848 11056 16584 21696 22112 33168 44224 66336 78083 132672 156166 234249 312332 468498 624664 936996 1249328 1873992 2498656 3747984 4997312 7495968 14991936