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12382152 = 233515923
BaseRepresentation
bin101111001110…
…111111001000
3212022002010020
4233032333020
511132212102
61121220440
7210150366
oct57167710
925262106
1012382152
116a97992
124191720
132746c23
141904636
151148bbc
hexbcefc8

12382152 has 16 divisors (see below), whose sum is σ = 30955440. Its totient is φ = 4127376.

The previous prime is 12382141. The next prime is 12382157. The reversal of 12382152 is 25128321.

It is a super-2 number, since 2×123821522 = 306635376302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 515923 = 12382152 / (1 + 2 + 3 + 8 + 2 + 1 + 5 + 2).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12382157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 257938 + ... + 257985.

It is an arithmetic number, because the mean of its divisors is an integer number (1934715).

Almost surely, 212382152 is an apocalyptic number.

12382152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12382152 is an abundant number, since it is smaller than the sum of its proper divisors (18573288).

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

12382152 is a wasteful number, since it uses less digits than its factorization.

12382152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515932 (or 515928 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 12382152 is about 3518.8282140508. The cubic root of 12382152 is about 231.3478016311.

The spelling of 12382152 in words is "twelve million, three hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 515923 1031846 1547769 2063692 3095538 4127384 6191076 12382152