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12133896 = 2333147347
BaseRepresentation
bin101110010010…
…011000001000
3211211110120120
4232102120020
511101241041
61112023240
7205064535
oct56223010
924743516
1012133896
116938415
124091b20
13268ac28
14187bd8c
1510ea366
hexb92608

12133896 has 64 divisors (see below), whose sum is σ = 32071680. Its totient is φ = 3819840.

The previous prime is 12133889. The next prime is 12133897. The reversal of 12133896 is 69833121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34795 + ... + 35141.

It is an arithmetic number, because the mean of its divisors is an integer number (501120).

Almost surely, 212133896 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 12133896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035840).

12133896 is an abundant number, since it is smaller than the sum of its proper divisors (19937784).

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

12133896 is a wasteful number, since it uses less digits than its factorization.

12133896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 12133896 is about 3483.3742262352. The cubic root of 12133896 is about 229.7912156987.

The spelling of 12133896 in words is "twelve million, one hundred thirty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 347 372 376 564 694 744 1041 1128 1388 1457 2082 2776 2914 4164 4371 5828 8328 8742 10757 11656 16309 17484 21514 32271 32618 34968 43028 48927 64542 65236 86056 97854 129084 130472 195708 258168 391416 505579 1011158 1516737 2022316 3033474 4044632 6066948 12133896