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13945968 = 243296847
BaseRepresentation
bin110101001100…
…110001110000
3222020112021100
4311030301300
512032232333
61214524400
7226352541
oct65146160
928215240
1013945968
1179658a3
124806700
132b7396a
141bd04c8
151357213
hexd4cc70

13945968 has 30 divisors (see below), whose sum is σ = 39029744. Its totient is φ = 4648608.

The previous prime is 13945963. The next prime is 13945969. The reversal of 13945968 is 86954931.

It is a happy number.

13945968 is a `hidden beast` number, since 139 + 459 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48280 + ... + 48567.

Almost surely, 213945968 is an apocalyptic number.

13945968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13945968 is an abundant number, since it is smaller than the sum of its proper divisors (25083776).

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

13945968 is a wasteful number, since it uses less digits than its factorization.

13945968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96861 (or 96852 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 13945968 is about 3734.4300769997. The cubic root of 13945968 is about 240.7037676126.

The spelling of 13945968 in words is "thirteen million, nine hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 96847 193694 290541 387388 581082 774776 871623 1162164 1549552 1743246 2324328 3486492 4648656 6972984 13945968