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14239968 = 2531937211
BaseRepresentation
bin110110010100…
…100011100000
3222210110120020
4312110203200
512121134333
61225113440
7232015641
oct66244340
928713506
1014239968
118046776
124928880
132c47722
141c696c8
1513b43b3
hexd948e0

14239968 has 96 divisors (see below), whose sum is σ = 40602240. Its totient is φ = 4354560.

The previous prime is 14239913. The next prime is 14239969. The reversal of 14239968 is 86993241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14239969) 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, 67383 + ... + 67593.

It is an arithmetic number, because the mean of its divisors is an integer number (422940).

Almost surely, 214239968 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 14239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301120).

14239968 is an abundant number, since it is smaller than the sum of its proper divisors (26362272).

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

14239968 is a wasteful number, since it uses less digits than its factorization.

14239968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 14239968 is about 3773.5882128287. The cubic root of 14239968 is about 242.3834732603.

The spelling of 14239968 in words is "fourteen million, two hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 74 76 96 111 114 148 152 211 222 228 296 304 422 444 456 592 608 633 703 844 888 912 1184 1266 1406 1688 1776 1824 2109 2532 2812 3376 3552 4009 4218 5064 5624 6752 7807 8018 8436 10128 11248 12027 15614 16036 16872 20256 22496 23421 24054 31228 32072 33744 46842 48108 62456 64144 67488 93684 96216 124912 128288 148333 187368 192432 249824 296666 374736 384864 444999 593332 749472 889998 1186664 1779996 2373328 3559992 4746656 7119984 14239968