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12623104 = 28133793
BaseRepresentation
bin110000001001…
…110100000000
3212202022122101
4300021310000
511212414404
61130320144
7212203024
oct60116400
925668571
1012623104
117141a1a
124289054
1327cc7c0
141968384
1511952a4
hexc09d00

12623104 has 36 divisors (see below), whose sum is σ = 27142276. Its totient is φ = 5824512.

The previous prime is 12623089. The next prime is 12623189. The reversal of 12623104 is 40132621.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 10549504 = 1440^2 + 3248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1432 + ... + 5224.

Almost surely, 212623104 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 12623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571138).

12623104 is an abundant number, since it is smaller than the sum of its proper divisors (14519172).

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

12623104 is an equidigital number, since it uses as much as digits as its factorization.

12623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12623104 is about 3552.9007866812. The cubic root of 12623104 is about 232.8388184502.

Adding to 12623104 its reverse (40132621), we get a palindrome (52755725).

The spelling of 12623104 in words is "twelve million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 3793 7586 15172 30344 49309 60688 98618 121376 197236 242752 394472 485504 788944 971008 1577888 3155776 6311552 12623104