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12152 = 237231
BaseRepresentation
bin10111101111000
3121200002
42331320
5342102
6132132
750300
oct27570
917602
1012152
119148
127048
1356ba
144600
153902
hex2f78

12152 has 24 divisors (see below), whose sum is σ = 27360. Its totient is φ = 5040.

The previous prime is 12149. The next prime is 12157. The reversal of 12152 is 25121.

Adding to 12152 its reverse (25121), we get a palindrome (37273).

It is a super-2 number, since 2×121522 = 295342208, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12152.

It is not an unprimeable number, because it can be changed into a prime (12157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 377 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

212152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680).

12152 is an abundant number, since it is smaller than the sum of its proper divisors (15208).

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

12152 is a wasteful number, since it uses less digits than its factorization.

12152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its digits is 20, while the sum is 11.

The square root of 12152 is about 110.2361102362. The cubic root of 12152 is about 22.9905443173.

The spelling of 12152 in words is "twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 6076 12152