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13392672 = 253612287
BaseRepresentation
bin110011000101…
…101100100000
3221012102021220
4303011230200
511412031142
61155015040
7221556456
oct63055440
927172256
1013392672
117618127
12459a480
132a0bb77
141ac89d6
1512982ec
hexcc5b20

13392672 has 48 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 4389120.

The previous prime is 13392671. The next prime is 13392677. The reversal of 13392672 is 27629331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13392671) 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, 4713 + ... + 6999.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 213392672 is an apocalyptic number.

13392672 is a gapful number since it is divisible by the number (12) 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 13392672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

13392672 is an abundant number, since it is smaller than the sum of its proper divisors (22355040).

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

13392672 is a wasteful number, since it uses less digits than its factorization.

13392672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2353 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 13392672 is about 3659.5999781397. The cubic root of 13392672 is about 237.4774685920.

The spelling of 13392672 in words is "thirteen million, three hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2287 2928 4574 5856 6861 9148 13722 18296 27444 36592 54888 73184 109776 139507 219552 279014 418521 558028 837042 1116056 1674084 2232112 3348168 4464224 6696336 13392672