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12193664 = 27731439
BaseRepresentation
bin101110100000…
…111110000000
3211221111120012
4232200332000
511110144124
61113204052
7205434020
oct56407600
924844505
1012193664
11697930a
124100628
1326ac1b2
141895a80
15110ce0e
hexba0f80

12193664 has 64 divisors (see below), whose sum is σ = 28723200. Its totient is φ = 5045760.

The previous prime is 12193663. The next prime is 12193669. The reversal of 12193664 is 46639121.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12193664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12193661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27557 + ... + 27995.

It is an arithmetic number, because the mean of its divisors is an integer number (448800).

Almost surely, 212193664 is an apocalyptic number.

12193664 is a gapful number since it is divisible by the number (14) 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 12193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361600).

12193664 is an abundant number, since it is smaller than the sum of its proper divisors (16529536).

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

12193664 is an equidigital number, since it uses as much as digits as its factorization.

12193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 12193664 is about 3491.9427257617. The cubic root of 12193664 is about 230.1678925369.

The spelling of 12193664 in words is "twelve million, one hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 439 448 496 868 878 896 992 1736 1756 1984 3073 3472 3512 3968 6146 6944 7024 12292 13609 13888 14048 24584 27218 27776 28096 49168 54436 56192 95263 98336 108872 190526 196672 217744 381052 393344 435488 762104 870976 1524208 1741952 3048416 6096832 12193664