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13620768 = 253720269
BaseRepresentation
bin110011111101…
…011000100000
3221122000011220
4303331120200
511441331033
61203535040
7223526460
oct63753040
927560156
1013620768
117763537
12468a480
132a8b935
141b47ba0
1512e0bb3
hexcfd620

13620768 has 48 divisors (see below), whose sum is σ = 40864320. Its totient is φ = 3891456.

The previous prime is 13620727. The next prime is 13620781. The reversal of 13620768 is 86702631.

13620768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9463 + ... + 10806.

It is an arithmetic number, because the mean of its divisors is an integer number (851340).

Almost surely, 213620768 is an apocalyptic number.

It is an amenable number.

13620768 is an abundant number, since it is smaller than the sum of its proper divisors (27243552).

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

13620768 is a wasteful number, since it uses less digits than its factorization.

13620768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20289 (or 20281 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13620768 is about 3690.6324661228. The cubic root of 13620768 is about 238.8180778606.

The spelling of 13620768 in words is "thirteen million, six hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20269 40538 60807 81076 121614 141883 162152 243228 283766 324304 425649 486456 567532 648608 851298 972912 1135064 1702596 1945824 2270128 3405192 4540256 6810384 13620768