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14665968 = 2433171997
BaseRepresentation
bin110111111100…
…100011110000
31000121002221000
4313330203300
512223302333
61242202000
7235441632
oct67744360
930532830
1014665968
118307839
124ab3300
1330665b5
141d3aa52
15144a713
hexdfc8f0

14665968 has 80 divisors (see below), whose sum is σ = 44595360. Its totient is φ = 4598784.

The previous prime is 14665957. The next prime is 14665979. The reversal of 14665968 is 86956641.

It is an interprime number because it is at equal distance from previous prime (14665957) and next prime (14665979).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6346 + ... + 8342.

It is an arithmetic number, because the mean of its divisors is an integer number (557442).

Almost surely, 214665968 is an apocalyptic number.

14665968 is a gapful number since it is divisible by the number (18) 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 14665968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297680).

14665968 is an abundant number, since it is smaller than the sum of its proper divisors (29929392).

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

14665968 is a wasteful number, since it uses less digits than its factorization.

14665968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2019 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 14665968 is about 3829.6172132473. The cubic root of 14665968 is about 244.7767951861.

The spelling of 14665968 in words is "fourteen million, six hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 1997 2448 3672 3994 5991 7344 7988 11982 15976 17973 23964 31952 33949 35946 47928 53919 67898 71892 95856 101847 107838 135796 143784 203694 215676 271592 287568 305541 407388 431352 543184 611082 814776 862704 916623 1222164 1629552 1833246 2444328 3666492 4888656 7332984 14665968