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12307968 = 29322671
BaseRepresentation
bin101110111100…
…111000000000
3212011022100200
4232330320000
511122323333
61115445200
7206421201
oct56747000
925138320
1012307968
116a47182
124156800
13271c22a
1418c55a8
151131c13
hexbbce00

12307968 has 60 divisors (see below), whose sum is σ = 35534928. Its totient is φ = 4101120.

The previous prime is 12307957. The next prime is 12307993. The reversal of 12307968 is 86970321.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3273 + ... + 5943.

Almost surely, 212307968 is an apocalyptic number.

12307968 is a gapful number since it is divisible by the number (18) 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 12307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767464).

12307968 is an abundant number, since it is smaller than the sum of its proper divisors (23226960).

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

12307968 is an equidigital number, since it uses as much as digits as its factorization.

12307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12307968 is about 3508.2713692073. The cubic root of 12307968 is about 230.8848585674.

The spelling of 12307968 in words is "twelve million, three hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2671 4608 5342 8013 10684 16026 21368 24039 32052 42736 48078 64104 85472 96156 128208 170944 192312 256416 341888 384624 512832 683776 769248 1025664 1367552 1538496 2051328 3076992 4102656 6153984 12307968