Search a number
-
+
12378992 = 241771641
BaseRepresentation
bin101111001110…
…001101110000
3212021220210012
4233032031300
511132111432
61121154052
7210135233
oct57161560
925256705
1012378992
116a9557a
12418b928
132745662
14190341a
151147cb2
hexbce370

12378992 has 40 divisors (see below), whose sum is σ = 25792992. Its totient is φ = 5734400.

The previous prime is 12378917. The next prime is 12378997. The reversal of 12378992 is 29987321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12378997) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18992 + ... + 19632.

Almost surely, 212378992 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 12378992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896496).

12378992 is an abundant number, since it is smaller than the sum of its proper divisors (13414000).

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

12378992 is a wasteful number, since it uses less digits than its factorization.

12378992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 12378992 is about 3518.3791722894. The cubic root of 12378992 is about 231.3281195044.

The spelling of 12378992 in words is "twelve million, three hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 641 1136 1207 1282 2414 2564 4828 5128 9656 10256 10897 19312 21794 43588 45511 87176 91022 174352 182044 364088 728176 773687 1547374 3094748 6189496 12378992