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12973696 = 27791283
BaseRepresentation
bin110001011111…
…011010000000
3220102010120021
4301133122000
511310124241
61142023224
7215163121
oct61373200
926363507
1012973696
11736136a
124417b14
1328c3258
141a1a048
1512140d1
hexc5f680

12973696 has 32 divisors (see below), whose sum is σ = 26193600. Its totient is φ = 6399744.

The previous prime is 12973661. The next prime is 12973699. The reversal of 12973696 is 69637921.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12973699) by changing a digit.

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, 9471 + ... + 10753.

It is an arithmetic number, because the mean of its divisors is an integer number (818550).

Almost surely, 212973696 is an apocalyptic number.

12973696 is a gapful number since it is divisible by the number (16) 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 12973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096800).

12973696 is an abundant number, since it is smaller than the sum of its proper divisors (13219904).

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

12973696 is an equidigital number, since it uses as much as digits as its factorization.

12973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1364 counting only the distinct ones).

The product of its digits is 122472, while the sum is 43.

The square root of 12973696 is about 3601.9017199252. The cubic root of 12973696 is about 234.9747732088.

The spelling of 12973696 in words is "twelve million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 1283 2528 2566 5056 5132 10112 10264 20528 41056 82112 101357 164224 202714 405428 810856 1621712 3243424 6486848 12973696