Search a number
-
+
12832976 = 2413103599
BaseRepresentation
bin110000111101…
…000011010000
3220010222112102
4300331003100
511241123401
61135015532
7214035632
oct60750320
926128472
1012832976
117275672
12436a5a8
1328741a0
1419c0a52
1511d756b
hexc3d0d0

12832976 has 40 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 5855616.

The previous prime is 12832973. The next prime is 12833033. The reversal of 12832976 is 67923821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12832973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21125 + ... + 21723.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 212832976 is an apocalyptic number.

12832976 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 12832976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

12832976 is an abundant number, since it is smaller than the sum of its proper divisors (14248624).

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

12832976 is a wasteful number, since it uses less digits than its factorization.

12832976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 12832976 is about 3582.3143357333. The cubic root of 12832976 is about 234.1221268164.

The spelling of 12832976 in words is "twelve million, eight hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 599 824 1198 1339 1648 2396 2678 4792 5356 7787 9584 10712 15574 21424 31148 61697 62296 123394 124592 246788 493576 802061 987152 1604122 3208244 6416488 12832976