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14980512 = 2531943191
BaseRepresentation
bin111001001001…
…010110100000
31001012002101210
4321021112200
512313334022
61253030120
7241221651
oct71112640
931162353
1014980512
118502098
125025340
133146811
141dbd528
1514ada0c
hexe495a0

14980512 has 96 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 4596480.

The previous prime is 14980499. The next prime is 14980517. The reversal of 14980512 is 21508941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14980512.

It is not an unprimeable number, because it can be changed into a prime (14980517) 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, 78337 + ... + 78527.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 214980512 is an apocalyptic number.

14980512 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 14980512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

14980512 is an abundant number, since it is smaller than the sum of its proper divisors (27597408).

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

14980512 is a wasteful number, since it uses less digits than its factorization.

14980512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 14980512 is about 3870.4666385334. The cubic root of 14980512 is about 246.5143577224.

The spelling of 14980512 in words is "fourteen million, nine hundred eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 76 86 96 114 129 152 172 191 228 258 304 344 382 456 516 573 608 688 764 817 912 1032 1146 1376 1528 1634 1824 2064 2292 2451 3056 3268 3629 4128 4584 4902 6112 6536 7258 8213 9168 9804 10887 13072 14516 16426 18336 19608 21774 24639 26144 29032 32852 39216 43548 49278 58064 65704 78432 87096 98556 116128 131408 156047 174192 197112 262816 312094 348384 394224 468141 624188 788448 936282 1248376 1872564 2496752 3745128 4993504 7490256 14980512