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12426304 = 261119929
BaseRepresentation
bin101111011001…
…110001000000
3212101022200111
4233121301000
511140120204
61122201104
7210423202
oct57316100
925338614
1012426304
117018080
1241b3194
132761057
141916772
151156d04
hexbd9c40

12426304 has 56 divisors (see below), whose sum is σ = 28346400. Its totient is φ = 5345280.

The previous prime is 12426277. The next prime is 12426313. The reversal of 12426304 is 40362421.

It is a happy number.

It is a super-2 number, since 2×124263042 = 308826062200832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12912 + ... + 13840.

Almost surely, 212426304 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 12426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173200).

12426304 is an abundant number, since it is smaller than the sum of its proper divisors (15920096).

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

12426304 is a wasteful number, since it uses less digits than its factorization.

12426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12426304 is about 3525.0963107410. The cubic root of 12426304 is about 231.6224537080.

Adding to 12426304 its reverse (40362421), we get a palindrome (52788725).

The spelling of 12426304 in words is "twelve million, four hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 929 1216 1672 1858 3344 3716 6688 7432 10219 13376 14864 17651 20438 29728 35302 40876 59456 70604 81752 141208 163504 194161 282416 327008 388322 564832 654016 776644 1129664 1553288 3106576 6213152 12426304