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12973392 = 243359509
BaseRepresentation
bin110001011111…
…010101010000
3220102010011000
4301133111100
511310122032
61142022000
7215162205
oct61372520
926363130
1012973392
117361113
124417900
1328c3083
141a19cac
151213e7c
hexc5f550

12973392 has 80 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 4242816.

The previous prime is 12973379. The next prime is 12973399. The reversal of 12973392 is 29337921.

12973392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25234 + ... + 25742.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 212973392 is an apocalyptic number.

12973392 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 12973392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

12973392 is an abundant number, since it is smaller than the sum of its proper divisors (24970608).

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

12973392 is a wasteful number, since it uses less digits than its factorization.

12973392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 573 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 12973392 is about 3601.8595197481. The cubic root of 12973392 is about 234.9729378826.

The spelling of 12973392 in words is "twelve million, nine hundred seventy-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 509 531 708 944 1018 1062 1416 1527 1593 2036 2124 2832 3054 3186 4072 4248 4581 6108 6372 8144 8496 9162 12216 12744 13743 18324 24432 25488 27486 30031 36648 54972 60062 73296 90093 109944 120124 180186 219888 240248 270279 360372 480496 540558 720744 810837 1081116 1441488 1621674 2162232 3243348 4324464 6486696 12973392