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12838632 = 233534943
BaseRepresentation
bin110000111110…
…011011101000
3220011021021220
4300332123220
511241314012
61135102040
7214061262
oct60763350
926137256
1012838632
117279944
124371920
132876931
1419c2b32
1511d908c
hexc3e6e8

12838632 has 16 divisors (see below), whose sum is σ = 32096640. Its totient is φ = 4279536.

The previous prime is 12838627. The next prime is 12838643. The reversal of 12838632 is 23683821.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12838593 and 12838602.

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 3 ways as a sum of consecutive naturals, for example, 267448 + ... + 267495.

It is an arithmetic number, because the mean of its divisors is an integer number (2006040).

Almost surely, 212838632 is an apocalyptic number.

12838632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12838632 is an abundant number, since it is smaller than the sum of its proper divisors (19258008).

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

12838632 is a wasteful number, since it uses less digits than its factorization.

12838632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534952 (or 534948 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12838632 is about 3583.1036825635. The cubic root of 12838632 is about 234.1565173910.

The spelling of 12838632 in words is "twelve million, eight hundred thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 534943 1069886 1604829 2139772 3209658 4279544 6419316 12838632