Search a number
-
+
14916972 = 22372231103
BaseRepresentation
bin111000111001…
…110101101100
31001001212020110
4320321311230
512304320342
61251420020
7240535500
oct70716554
931055213
1014916972
118469384
124bb4610
133123915
141da4300
151499c9c
hexe39d6c

14916972 has 72 divisors (see below), whose sum is σ = 42287616. Its totient is φ = 4072992.

The previous prime is 14916959. The next prime is 14916997. The reversal of 14916972 is 27961941.

It is a self number, because there is not a number n which added to its sum of digits gives 14916972.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12973 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (587328).

Almost surely, 214916972 is an apocalyptic number.

14916972 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 14916972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143808).

14916972 is an abundant number, since it is smaller than the sum of its proper divisors (27370644).

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

14916972 is a wasteful number, since it uses less digits than its factorization.

14916972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 14916972 is about 3862.2496035342. The cubic root of 14916972 is about 246.1653327072.

The spelling of 14916972 in words is "fourteen million, nine hundred sixteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1103 1127 1932 2206 2254 3309 3381 4412 4508 6618 6762 7721 13236 13524 15442 23163 25369 30884 46326 50738 54047 76107 92652 101476 108094 152214 162141 177583 216188 304428 324282 355166 532749 648564 710332 1065498 1243081 2130996 2486162 3729243 4972324 7458486 14916972