Search a number
-
+
12817932 = 22317193307
BaseRepresentation
bin110000111001…
…011000001100
3220010012220020
4300321120030
511240133212
61134422140
7213644031
oct60713014
926105806
1012817932
117265336
124361950
13286a39a
1419b9388
1511d2d8c
hexc3960c

12817932 has 48 divisors (see below), whose sum is σ = 33344640. Its totient is φ = 3808512.

The previous prime is 12817921. The next prime is 12817933. The reversal of 12817932 is 23971821.

It is a junction number, because it is equal to n+sod(n) for n = 12817893 and 12817902.

It is not an unprimeable number, because it can be changed into a prime (12817933) 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, 2223 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (694680).

Almost surely, 212817932 is an apocalyptic number.

12817932 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 12817932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672320).

12817932 is an abundant number, since it is smaller than the sum of its proper divisors (20526708).

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

12817932 is a wasteful number, since it uses less digits than its factorization.

12817932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3348 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 12817932 is about 3580.2139600867. The cubic root of 12817932 is about 234.0306045149.

The spelling of 12817932 in words is "twelve million, eight hundred seventeen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3307 3876 6614 9921 13228 19842 39684 56219 62833 112438 125666 168657 188499 224876 251332 337314 376998 674628 753996 1068161 2136322 3204483 4272644 6408966 12817932