Search a number
-
+
12671932 = 22713311123
BaseRepresentation
bin110000010101…
…101110111100
3212211210121211
4300111232330
511221000212
61131334204
7212465260
oct60255674
925753554
1012671932
117175679
1242b1364
132818ab0
14197c0a0
1511a49a7
hexc15bbc

12671932 has 48 divisors (see below), whose sum is σ = 28198912. Its totient is φ = 4847040.

The previous prime is 12671921. The next prime is 12671951. The reversal of 12671932 is 23917621.

It is a super-2 number, since 2×126719322 = 321155721225248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12671894 and 12671903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10723 + ... + 11845.

Almost surely, 212671932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12671932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099456).

12671932 is an abundant number, since it is smaller than the sum of its proper divisors (15526980).

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

12671932 is a wasteful number, since it uses less digits than its factorization.

12671932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 12671932 is about 3559.7657226284. The cubic root of 12671932 is about 233.1386503087.

The spelling of 12671932 in words is "twelve million, six hundred seventy-one thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1123 1612 2246 2821 4492 5642 7861 11284 14599 15722 29198 31444 34813 58396 69626 102193 139252 204386 243691 408772 452569 487382 905138 974764 1810276 3167983 6335966 12671932