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11231296 = 261131553
BaseRepresentation
bin101010110110…
…000001000000
3210010121102221
4222312001000
510333400141
61040420424
7164315206
oct52660100
923117387
1011231296
11638126a
123917714
13243314b
1416c5076
15ebcbd1
hexab6040

11231296 has 28 divisors (see below), whose sum is σ = 22498812. Its totient is φ = 5562368.

The previous prime is 11231293. The next prime is 11231317. The reversal of 11231296 is 69213211.

It can be written as a sum of positive squares in 2 ways, for example, as 577600 + 10653696 = 760^2 + 3264^2 .

It is a super-2 number, since 2×112312962 = 252284019679232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11231296.

It is not an unprimeable number, because it can be changed into a prime (11231293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6456 + ... + 8008.

It is an arithmetic number, because the mean of its divisors is an integer number (803529).

Almost surely, 211231296 is an apocalyptic number.

11231296 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 11231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249406).

11231296 is an abundant number, since it is smaller than the sum of its proper divisors (11267516).

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

11231296 is a wasteful number, since it uses less digits than its factorization.

11231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 11231296 is about 3351.3125786772. The cubic root of 11231296 is about 223.9459903799.

The spelling of 11231296 in words is "eleven million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1553 1808 3106 3616 6212 7232 12424 24848 49696 99392 175489 350978 701956 1403912 2807824 5615648 11231296