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11216296 = 2372133171
BaseRepresentation
bin101010110010…
…010110101000
3210002211212101
4222302112220
510332410141
61040223144
7164223400
oct52622650
923084771
1011216296
116370a73
12390aab4
132429380
1416bd800
15eb8531
hexab25a8

11216296 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4233600.

The previous prime is 11216287. The next prime is 11216321. The reversal of 11216296 is 69261211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 15.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 157941 + ... + 158011.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 211216296 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 11216296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

11216296 is an abundant number, since it is smaller than the sum of its proper divisors (16362584).

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

11216296 is a wasteful number, since it uses less digits than its factorization.

11216296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 11216296 is about 3349.0739018421. The cubic root of 11216296 is about 223.8462486574.

The spelling of 11216296 in words is "eleven million, two hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 71 91 98 104 124 142 182 196 217 248 284 364 392 403 434 497 568 637 728 806 868 923 994 1274 1519 1612 1736 1846 1988 2201 2548 2821 3038 3224 3479 3692 3976 4402 5096 5642 6076 6461 6958 7384 8804 11284 12152 12922 13916 15407 17608 19747 22568 25844 27832 28613 30814 39494 45227 51688 57226 61628 78988 90454 107849 114452 123256 157976 180908 200291 215698 228904 361816 400582 431396 801164 862792 1402037 1602328 2804074 5608148 11216296