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14942664 = 23331119331
BaseRepresentation
bin111001000000…
…000111001000
31001010011111000
4321000013020
512311131124
61252135000
7241003422
oct71000710
931104430
1014942664
118486710
125007460
133132519
141dad812
1514a26c9
hexe401c8

14942664 has 128 divisors (see below), whose sum is σ = 47808000. Its totient is φ = 4276800.

The previous prime is 14942623. The next prime is 14942671. The reversal of 14942664 is 46624941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44979 + ... + 45309.

It is an arithmetic number, because the mean of its divisors is an integer number (373500).

Almost surely, 214942664 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 14942664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904000).

14942664 is an abundant number, since it is smaller than the sum of its proper divisors (32865336).

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

14942664 is a wasteful number, since it uses less digits than its factorization.

14942664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 14942664 is about 3865.5742134902. The cubic root of 14942664 is about 246.3065779108.

The spelling of 14942664 in words is "fourteen million, nine hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 331 342 396 418 456 513 594 627 662 684 792 836 993 1026 1188 1254 1324 1368 1672 1881 1986 2052 2376 2508 2648 2979 3641 3762 3972 4104 5016 5643 5958 6289 7282 7524 7944 8937 10923 11286 11916 12578 14564 15048 17874 18867 21846 22572 23832 25156 29128 32769 35748 37734 43692 45144 50312 56601 65538 69179 71496 75468 87384 98307 113202 131076 138358 150936 169803 196614 207537 226404 262152 276716 339606 393228 415074 452808 553432 622611 679212 786456 830148 1245222 1358424 1660296 1867833 2490444 3735666 4980888 7471332 14942664