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12085152 = 253125887
BaseRepresentation
bin101110000110…
…011110100000
3211201222201020
4232012132200
511043211102
61111005440
7204502452
oct56063640
924658636
1012085152
116904832
124069880
1326719a1
1418682d2
1510dabbc
hexb867a0

12085152 has 24 divisors (see below), whose sum is σ = 31723776. Its totient is φ = 4028352.

The previous prime is 12085111. The next prime is 12085163. The reversal of 12085152 is 25158021.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 62848 + ... + 63039.

It is an arithmetic number, because the mean of its divisors is an integer number (1321824).

Almost surely, 212085152 is an apocalyptic number.

12085152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12085152 is an abundant number, since it is smaller than the sum of its proper divisors (19638624).

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

12085152 is a wasteful number, since it uses less digits than its factorization.

12085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125900 (or 125892 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 12085152 is about 3476.3705211039. The cubic root of 12085152 is about 229.4830987976.

The spelling of 12085152 in words is "twelve million, eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 125887 251774 377661 503548 755322 1007096 1510644 2014192 3021288 4028384 6042576 12085152