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12316928 = 28133701
BaseRepresentation
bin101110111111…
…000100000000
3212011202122112
4232333010000
511123120203
61115554452
7206456261
oct56770400
925152575
1012316928
116a52988
12415ba28
132723330
1418c8968
1511346d8
hexbbf100

12316928 has 36 divisors (see below), whose sum is σ = 26484108. Its totient is φ = 5683200.

The previous prime is 12316903. The next prime is 12316943. The reversal of 12316928 is 82961321.

It can be written as a sum of positive squares in 2 ways, for example, as 3268864 + 9048064 = 1808^2 + 3008^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12316894 and 12316903.

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 3 ways as a sum of consecutive naturals, for example, 1478 + ... + 5178.

Almost surely, 212316928 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 12316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242054).

12316928 is an abundant number, since it is smaller than the sum of its proper divisors (14167180).

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

12316928 is an equidigital number, since it uses as much as digits as its factorization.

12316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3716 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 12316928 is about 3509.5481190603. The cubic root of 12316928 is about 230.9408717814.

The spelling of 12316928 in words is "twelve million, three hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 3701 7402 14804 29608 48113 59216 96226 118432 192452 236864 384904 473728 769808 947456 1539616 3079232 6158464 12316928