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13342752 = 253315443
BaseRepresentation
bin110010111001…
…100000100000
3221002212211000
4302321200200
511403432002
61153552000
7221261103
oct62714040
927085730
1013342752
117593675
124575600
1329c2227
141ab473a
15128861c
hexcb9820

13342752 has 48 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 4447296.

The previous prime is 13342733. The next prime is 13342757. The reversal of 13342752 is 25724331.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13342757) 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, 6858 + ... + 8585.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 213342752 is an apocalyptic number.

13342752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13342752 is an abundant number, since it is smaller than the sum of its proper divisors (25576128).

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

13342752 is a wasteful number, since it uses less digits than its factorization.

13342752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15462 (or 15448 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 13342752 is about 3652.7731930685. The cubic root of 13342752 is about 237.1820424778.

The spelling of 13342752 in words is "thirteen million, three hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15443 30886 46329 61772 92658 123544 138987 185316 247088 277974 370632 416961 494176 555948 741264 833922 1111896 1482528 1667844 2223792 3335688 4447584 6671376 13342752