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12296628 = 22322314851
BaseRepresentation
bin101110111010…
…000110110100
3212010201210200
4232322012310
511121443003
61115320500
7206343141
oct56720664
925121720
1012296628
116a39703
124150130
132717016
1418c13c8
15112d6a3
hexbba1b4

12296628 has 36 divisors (see below), whose sum is σ = 32436768. Its totient is φ = 3920400.

The previous prime is 12296623. The next prime is 12296681. The reversal of 12296628 is 82669221.

It is a happy number.

12296628 is a `hidden beast` number, since 1 + 2 + 29 + 6 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12296592 and 12296601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12296621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6598 + ... + 8253.

Almost surely, 212296628 is an apocalyptic number.

12296628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12296628 is an abundant number, since it is smaller than the sum of its proper divisors (20140140).

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

12296628 is a wasteful number, since it uses less digits than its factorization.

12296628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14884 (or 14879 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12296628 is about 3506.6548162030. The cubic root of 12296628 is about 230.8139278550.

The spelling of 12296628 in words is "twelve million, two hundred ninety-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 14851 29702 44553 59404 89106 133659 178212 267318 341573 534636 683146 1024719 1366292 2049438 3074157 4098876 6148314 12296628