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12096928 = 251737601
BaseRepresentation
bin101110001001…
…010110100000
3211202120212101
4232021112200
511044100203
61111140144
7204552004
oct56112640
924676771
1012096928
116912668
124074654
13267715c
14186c704
1510de41d
hexb895a0

12096928 has 48 divisors (see below), whose sum is σ = 25941384. Its totient is φ = 5529600.

The previous prime is 12096899. The next prime is 12096937. The reversal of 12096928 is 82969021.

It can be written as a sum of positive squares in 4 ways, for example, as 11751184 + 345744 = 3428^2 + 588^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19828 + ... + 20428.

Almost surely, 212096928 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 12096928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970692).

12096928 is an abundant number, since it is smaller than the sum of its proper divisors (13844456).

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

12096928 is a wasteful number, since it uses less digits than its factorization.

12096928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 12096928 is about 3478.0638292015. The cubic root of 12096928 is about 229.5576121534.

The spelling of 12096928 in words is "twelve million, ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 601 629 1184 1202 1258 2404 2516 4808 5032 9616 10064 10217 19232 20128 20434 22237 40868 44474 81736 88948 163472 177896 326944 355792 378029 711584 756058 1512116 3024232 6048464 12096928