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13752672 = 253143257
BaseRepresentation
bin110100011101…
…100101100000
3221212201010020
4310131211200
512010041142
61210433440
7224616153
oct64354540
927781106
1013752672
11784364a
124732880
132b0699b
141b7dc9a
151319cec
hexd1d960

13752672 has 24 divisors (see below), whose sum is σ = 36101016. Its totient is φ = 4584192.

The previous prime is 13752667. The next prime is 13752701. The reversal of 13752672 is 27625731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 71533 + ... + 71724.

It is an arithmetic number, because the mean of its divisors is an integer number (1504209).

Almost surely, 213752672 is an apocalyptic number.

13752672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13752672 is an abundant number, since it is smaller than the sum of its proper divisors (22348344).

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

13752672 is a wasteful number, since it uses less digits than its factorization.

13752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143270 (or 143262 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 13752672 is about 3708.4595184524. The cubic root of 13752672 is about 239.5865102406.

The spelling of 13752672 in words is "thirteen million, seven hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 143257 286514 429771 573028 859542 1146056 1719084 2292112 3438168 4584224 6876336 13752672