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12673632 = 253971361
BaseRepresentation
bin110000010110…
…001001100000
3212211212221210
4300112021200
511221024012
61131350120
7212503236
oct60261140
925755853
1012673632
117176984
1242b2340
1328197ba
14197c956
1511a523c
hexc16260

12673632 has 48 divisors (see below), whose sum is σ = 33635952. Its totient is φ = 4177920.

The previous prime is 12673607. The next prime is 12673649. The reversal of 12673632 is 23637621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12673632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8632 + ... + 9992.

It is an arithmetic number, because the mean of its divisors is an integer number (700749).

Almost surely, 212673632 is an apocalyptic number.

12673632 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 12673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817976).

12673632 is an abundant number, since it is smaller than the sum of its proper divisors (20962320).

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

12673632 is a wasteful number, since it uses less digits than its factorization.

12673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 12673632 is about 3560.0044943792. The cubic root of 12673632 is about 233.1490753957.

The spelling of 12673632 in words is "twelve million, six hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1361 1552 2328 2722 3104 4083 4656 5444 8166 9312 10888 16332 21776 32664 43552 65328 130656 132017 264034 396051 528068 792102 1056136 1584204 2112272 3168408 4224544 6336816 12673632