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11097864 = 2333191269
BaseRepresentation
bin101010010101…
…011100001000
3202212211102000
4222111130020
510320112424
61033511000
7163221201
oct52253410
922784360
1011097864
11629aa98
123872460
1323b74ab
14168c5a8
15e933c9
hexa95708

11097864 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 3666240.

The previous prime is 11097773. The next prime is 11097871. The reversal of 11097864 is 46879011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41122 + ... + 41390.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 211097864 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 11097864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

11097864 is an abundant number, since it is smaller than the sum of its proper divisors (20006136).

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

11097864 is a wasteful number, since it uses less digits than its factorization.

11097864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11097864 is about 3331.3456740483. The cubic root of 11097864 is about 223.0556009012.

The spelling of 11097864 in words is "eleven million, ninety-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 269 382 538 573 764 807 1076 1146 1528 1614 1719 2152 2292 2421 3228 3438 4584 4842 5157 6456 6876 7263 9684 10314 13752 14526 19368 20628 29052 41256 51379 58104 102758 154137 205516 308274 411032 462411 616548 924822 1233096 1387233 1849644 2774466 3699288 5548932 11097864