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12133932 = 2231922801
BaseRepresentation
bin101110010010…
…011000101100
3211211110121220
4232102120230
511101241212
61112023340
7205064616
oct56223054
924743556
1012133932
116938448
124091b50
13268ac55
14187bdb6
1510ea38c
hexb9262c

12133932 has 36 divisors (see below), whose sum is σ = 29891736. Its totient is φ = 3830400.

The previous prime is 12133931. The next prime is 12133939. The reversal of 12133932 is 23933121.

It is not an unprimeable number, because it can be changed into a prime (12133931) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2932 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (830326).

Almost surely, 212133932 is an apocalyptic number.

12133932 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 12133932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945868).

12133932 is an abundant number, since it is smaller than the sum of its proper divisors (17757804).

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

12133932 is a wasteful number, since it uses less digits than its factorization.

12133932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2825 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 12133932 is about 3483.3793936349. The cubic root of 12133932 is about 229.7914429540.

The spelling of 12133932 in words is "twelve million, one hundred thirty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 2801 4332 5602 8403 11204 16806 33612 53219 106438 159657 212876 319314 638628 1011161 2022322 3033483 4044644 6066966 12133932