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12133296 = 2432712037
BaseRepresentation
bin101110010010…
…001110110000
3211211102202100
4232102032300
511101231141
61112020400
7205063020
oct56221660
924742670
1012133296
116937a1a
124091700
13268a886
14187ba80
1510ea0b6
hexb923b0

12133296 has 60 divisors (see below), whose sum is σ = 38810512. Its totient is φ = 3466368.

The previous prime is 12133283. The next prime is 12133301. The reversal of 12133296 is 69233121.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 5011 + ... + 7026.

Almost surely, 212133296 is an apocalyptic number.

12133296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12133296 is an abundant number, since it is smaller than the sum of its proper divisors (26677216).

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

12133296 is a wasteful number, since it uses less digits than its factorization.

12133296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058 (or 12049 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12133296 is about 3483.2881017797. The cubic root of 12133296 is about 229.7874280447.

The spelling of 12133296 in words is "twelve million, one hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12037 24074 36111 48148 72222 84259 96296 108333 144444 168518 192592 216666 252777 288888 337036 433332 505554 577776 674072 758331 866664 1011108 1348144 1516662 1733328 2022216 3033324 4044432 6066648 12133296