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14830968 = 2333111987
BaseRepresentation
bin111000100100…
…110101111000
31000220111021010
4320210311320
512244042333
61245513520
7240026655
oct70446570
930814233
1014830968
11840a7a9
124b728a0
1330c3729
141d80c2c
15147e563
hexe24d78

14830968 has 32 divisors (see below), whose sum is σ = 37215360. Its totient is φ = 4925280.

The previous prime is 14830961. The next prime is 14830973. The reversal of 14830968 is 86903841.

14830968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148309682 = 439915223634048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14830961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6471 + ... + 8457.

It is an arithmetic number, because the mean of its divisors is an integer number (1162980).

Almost surely, 214830968 is an apocalyptic number.

It is an amenable number.

14830968 is an abundant number, since it is smaller than the sum of its proper divisors (22384392).

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

14830968 is a wasteful number, since it uses less digits than its factorization.

14830968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 14830968 is about 3851.0995832359. The cubic root of 14830968 is about 245.6913307511.

The spelling of 14830968 in words is "fourteen million, eight hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 311 622 933 1244 1866 1987 2488 3732 3974 5961 7464 7948 11922 15896 23844 47688 617957 1235914 1853871 2471828 3707742 4943656 7415484 14830968