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12468872 = 23131131061
BaseRepresentation
bin101111100100…
…001010001000
3212110111002002
4233210022020
511143000442
61123130132
7210661253
oct57441210
925414062
1012468872
117047059
124213948
132777540
14192809a
151164732
hexbe4288

12468872 has 32 divisors (see below), whose sum is σ = 25424280. Its totient is φ = 5698560.

The previous prime is 12468847. The next prime is 12468877. The reversal of 12468872 is 27886421.

It can be written as a sum of positive squares in 4 ways, for example, as 5635876 + 6832996 = 2374^2 + 2614^2 .

It is not an unprimeable number, because it can be changed into a prime (12468877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11222 + ... + 12282.

Almost surely, 212468872 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 12468872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12712140).

12468872 is an abundant number, since it is smaller than the sum of its proper divisors (12955408).

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

12468872 is a wasteful number, since it uses less digits than its factorization.

12468872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 12468872 is about 3531.1289979269. The cubic root of 12468872 is about 231.8866370457.

The spelling of 12468872 in words is "twelve million, four hundred sixty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 904 1061 1469 2122 2938 4244 5876 8488 11752 13793 27586 55172 110344 119893 239786 479572 959144 1558609 3117218 6234436 12468872