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12909732 = 22311217523
BaseRepresentation
bin110001001111…
…110010100100
3220021212211020
4301033302210
511301102412
61140411140
7214505463
oct61176244
926255736
1012909732
117318300
1243a6ab0
1328a00c4
141a009da
15120018c
hexc4fca4

12909732 has 72 divisors (see below), whose sum is σ = 35124768. Its totient is φ = 3674880.

The previous prime is 12909709. The next prime is 12909751. The reversal of 12909732 is 23790921.

12909732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129097322 = 333322360623648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12909693 and 12909702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24423 + ... + 24945.

It is an arithmetic number, because the mean of its divisors is an integer number (487844).

Almost surely, 212909732 is an apocalyptic number.

12909732 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 12909732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562384).

12909732 is an abundant number, since it is smaller than the sum of its proper divisors (22215036).

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

12909732 is a wasteful number, since it uses less digits than its factorization.

12909732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 12909732 is about 3593.0115502180. The cubic root of 12909732 is about 234.5879727454.

The spelling of 12909732 in words is "twelve million, nine hundred nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 523 561 726 748 1046 1122 1452 1569 2057 2092 2244 3138 4114 5753 6171 6276 8228 8891 11506 12342 17259 17782 23012 24684 26673 34518 35564 53346 63283 69036 97801 106692 126566 189849 195602 253132 293403 379698 391204 586806 759396 1075811 1173612 2151622 3227433 4303244 6454866 12909732