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11236896 = 2532113547
BaseRepresentation
bin101010110111…
…011000100000
3210010220010100
4222313120200
510334040041
61040502400
7164340426
oct52673040
923126110
1011236896
1163854a0
12391aa00
132435868
1416c7116
15ebe6b6
hexab7620

11236896 has 72 divisors (see below), whose sum is σ = 34869744. Its totient is φ = 3404160.

The previous prime is 11236879. The next prime is 11236913. The reversal of 11236896 is 69863211.

It is an interprime number because it is at equal distance from previous prime (11236879) and next prime (11236913).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11236896.

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 11 ways as a sum of consecutive naturals, for example, 1395 + ... + 4941.

It is an arithmetic number, because the mean of its divisors is an integer number (484302).

Almost surely, 211236896 is an apocalyptic number.

11236896 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 11236896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434872).

11236896 is an abundant number, since it is smaller than the sum of its proper divisors (23632848).

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

11236896 is a wasteful number, since it uses less digits than its factorization.

11236896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3563 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11236896 is about 3352.1479680945. The cubic root of 11236896 is about 223.9832045230.

The spelling of 11236896 in words is "eleven million, two hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3547 7094 10641 14188 21282 28376 31923 39017 42564 56752 63846 78034 85128 113504 117051 127692 156068 170256 234102 255384 312136 340512 351153 468204 510768 624272 702306 936408 1021536 1248544 1404612 1872816 2809224 3745632 5618448 11236896