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13755072 = 263312311
BaseRepresentation
bin110100011110…
…001011000000
3221212211102010
4310132023000
512010130242
61210452520
7224626152
oct64361300
927784363
1013755072
117845431
124734140
132b07ac6
141b80ad2
15131a89c
hexd1e2c0

13755072 has 56 divisors (see below), whose sum is σ = 37583872. Its totient is φ = 4435200.

The previous prime is 13755061. The next prime is 13755097. The reversal of 13755072 is 27055731.

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, 4797 + ... + 7107.

Almost surely, 213755072 is an apocalyptic number.

13755072 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 13755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18791936).

13755072 is an abundant number, since it is smaller than the sum of its proper divisors (23828800).

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

13755072 is a wasteful number, since it uses less digits than its factorization.

13755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 13755072 is about 3708.7830888312. The cubic root of 13755072 is about 239.6004463004.

The spelling of 13755072 in words is "thirteen million, seven hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2311 2976 4622 5952 6933 9244 13866 18488 27732 36976 55464 71641 73952 110928 143282 147904 214923 221856 286564 429846 443712 573128 859692 1146256 1719384 2292512 3438768 4585024 6877536 13755072