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13857372 = 2233314139
BaseRepresentation
bin110100110111…
…001001011100
3222002000202000
4310313021130
512021413442
61213002300
7225533334
oct64671134
928060660
1013857372
117905281
124783390
132b42539
141baa0c4
15133ad4c
hexd3725c

13857372 has 48 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 4469040.

The previous prime is 13857359. The next prime is 13857373. The reversal of 13857372 is 27375831.

13857372 is a `hidden beast` number, since 13 + 8 + 573 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13857373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (772800).

Almost surely, 213857372 is an apocalyptic number.

13857372 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 13857372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

13857372 is an abundant number, since it is smaller than the sum of its proper divisors (23237028).

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

13857372 is a wasteful number, since it uses less digits than its factorization.

13857372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4175 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 13857372 is about 3722.5491266067. The cubic root of 13857372 is about 240.1929698028.

The spelling of 13857372 in words is "thirteen million, eight hundred fifty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 4139 8278 12417 16556 24834 37251 49668 74502 111753 128309 149004 223506 256618 384927 447012 513236 769854 1154781 1539708 2309562 3464343 4619124 6928686 13857372