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11237268 = 2237229659
BaseRepresentation
bin101010110111…
…011110010100
3210010220122010
4222313132110
510334043033
61040504220
7164341500
oct52673624
923126563
1011237268
1163857a9
12391b070
132435a93
1416c7300
15ebe863
hexab7794

11237268 has 72 divisors (see below), whose sum is σ = 31600800. Its totient is φ = 3095232.

The previous prime is 11237267. The next prime is 11237273. The reversal of 11237268 is 86273211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11237267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16723 + ... + 17381.

It is an arithmetic number, because the mean of its divisors is an integer number (438900).

Almost surely, 211237268 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 11237268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800400).

11237268 is an abundant number, since it is smaller than the sum of its proper divisors (20363532).

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

11237268 is a wasteful number, since it uses less digits than its factorization.

11237268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11237268 is about 3352.2034544460. The cubic root of 11237268 is about 223.9856761674.

The spelling of 11237268 in words is "eleven million, two hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 659 812 1218 1318 1421 1977 2436 2636 2842 3954 4263 4613 5684 7908 8526 9226 13839 17052 18452 19111 27678 32291 38222 55356 57333 64582 76444 96873 114666 129164 133777 193746 229332 267554 387492 401331 535108 802662 936439 1605324 1872878 2809317 3745756 5618634 11237268