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13231296 = 2633131931
BaseRepresentation
bin110010011110…
…010011000000
3220220012221000
4302132103000
511341400141
61151332000
7220315131
oct62362300
926805830
1013231296
117517961
124521000
132983590
141a85c88
1512655b6
hexc9e4c0

13231296 has 224 divisors, whose sum is σ = 45516800. Its totient is φ = 3732480.

The previous prime is 13231289. The next prime is 13231297. The reversal of 13231296 is 69213231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13231297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426801 + ... + 426831.

It is an arithmetic number, because the mean of its divisors is an integer number (203200).

Almost surely, 213231296 is an apocalyptic number.

13231296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758400).

13231296 is an abundant number, since it is smaller than the sum of its proper divisors (32285504).

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

13231296 is a wasteful number, since it uses less digits than its factorization.

13231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13231296 is about 3637.4848453293. The cubic root of 13231296 is about 236.5197774836.

The spelling of 13231296 in words is "thirteen million, two hundred thirty-one thousand, two hundred ninety-six".