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14979924 = 22331741199
BaseRepresentation
bin111001001001…
…001101010100
31001012001121000
4321021031110
512313324144
61253023300
7241220151
oct71111524
931161530
1014979924
118501703
125024b30
13314647b
141dbd228
1514ad769
hexe49354

14979924 has 96 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 4561920.

The previous prime is 14979917. The next prime is 14979949. The reversal of 14979924 is 42997941.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14979924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75177 + ... + 75375.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 214979924 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 14979924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

14979924 is an abundant number, since it is smaller than the sum of its proper divisors (27356076).

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

14979924 is a wasteful number, since it uses less digits than its factorization.

14979924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 14979924 is about 3870.3906779549. The cubic root of 14979924 is about 246.5111323689.

The spelling of 14979924 in words is "fourteen million, nine hundred seventy-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 199 204 246 306 369 398 459 492 597 612 697 738 796 918 1107 1194 1394 1476 1791 1836 2091 2214 2388 2788 3383 3582 4182 4428 5373 6273 6766 7164 8159 8364 10149 10746 12546 13532 16318 18819 20298 21492 24477 25092 30447 32636 37638 40596 48954 60894 73431 75276 91341 97908 121788 138703 146862 182682 220293 277406 293724 365364 416109 440586 554812 832218 881172 1248327 1664436 2496654 3744981 4993308 7489962 14979924