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12909416 = 23131011229
BaseRepresentation
bin110001001111…
…101101101000
3220021212101112
4301033231220
511301100131
61140405452
7214504532
oct61175550
926255345
1012909416
117318043
1243a6888
13289cc10
141a00852
15120002b
hexc4fb68

12909416 has 32 divisors (see below), whose sum is σ = 26346600. Its totient is φ = 5894400.

The previous prime is 12909397. The next prime is 12909427. The reversal of 12909416 is 61490921.

It can be written as a sum of positive squares in 4 ways, for example, as 12888100 + 21316 = 3590^2 + 146^2 .

It is a super-2 number, since 2×129094162 = 333306042922112, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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 7 ways as a sum of consecutive naturals, for example, 9890 + ... + 11118.

Almost surely, 212909416 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 12909416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173300).

12909416 is an abundant number, since it is smaller than the sum of its proper divisors (13437184).

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

12909416 is a wasteful number, since it uses less digits than its factorization.

12909416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 12909416 is about 3592.9675756956. The cubic root of 12909416 is about 234.5860586751.

The spelling of 12909416 in words is "twelve million, nine hundred nine thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1229 1313 2458 2626 4916 5252 9832 10504 15977 31954 63908 124129 127816 248258 496516 993032 1613677 3227354 6454708 12909416