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14314752 = 283319109
BaseRepresentation
bin110110100110…
…110100000000
3222221021011000
4312212310000
512131033002
61230452000
7232446654
oct66466400
928837130
1014314752
118097981
124964000
132c7278a
141c88a64
1513cb61c
hexda6d00

14314752 has 144 divisors (see below), whose sum is σ = 44968000. Its totient is φ = 4478976.

The previous prime is 14314723. The next prime is 14314759. The reversal of 14314752 is 25741341.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314759) 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, 131274 + ... + 131382.

Almost surely, 214314752 is an apocalyptic number.

14314752 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 14314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22484000).

14314752 is an abundant number, since it is smaller than the sum of its proper divisors (30653248).

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

14314752 is a wasteful number, since it uses less digits than its factorization.

14314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 14314752 is about 3783.4841085962. The cubic root of 14314752 is about 242.8070408427.

The spelling of 14314752 in words is "fourteen million, three hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 109 114 128 144 152 171 192 216 218 228 256 288 304 327 342 384 432 436 456 513 576 608 654 684 768 864 872 912 981 1026 1152 1216 1308 1368 1728 1744 1824 1962 2052 2071 2304 2432 2616 2736 2943 3456 3488 3648 3924 4104 4142 4864 5232 5472 5886 6213 6912 6976 7296 7848 8208 8284 10464 10944 11772 12426 13952 14592 15696 16416 16568 18639 20928 21888 23544 24852 27904 31392 32832 33136 37278 41856 43776 47088 49704 55917 62784 65664 66272 74556 83712 94176 99408 111834 125568 131328 132544 149112 188352 198816 223668 251136 265088 298224 376704 397632 447336 530176 596448 753408 795264 894672 1192896 1590528 1789344 2385792 3578688 4771584 7157376 14314752