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11359968 = 253731621
BaseRepresentation
bin101011010101…
…011011100000
3210101010221120
4223111123200
510402004333
61043252240
7165362304
oct53253340
923333846
1011359968
116459a04
12397a080
132479899
141719d04
15ee5db3
hexad56e0

11359968 has 48 divisors (see below), whose sum is σ = 30247056. Its totient is φ = 3732480.

The previous prime is 11359951. The next prime is 11359979. The reversal of 11359968 is 86995311.

11359968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×113599682 = 258097745922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6198 + ... + 7818.

It is an arithmetic number, because the mean of its divisors is an integer number (630147).

Almost surely, 211359968 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 11359968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123528).

11359968 is an abundant number, since it is smaller than the sum of its proper divisors (18887088).

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

11359968 is a wasteful number, since it uses less digits than its factorization.

11359968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1699 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 11359968 is about 3370.4551621406. The cubic root of 11359968 is about 224.7979618446.

The spelling of 11359968 in words is "eleven million, three hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1621 1752 2336 3242 3504 4863 6484 7008 9726 12968 19452 25936 38904 51872 77808 118333 155616 236666 354999 473332 709998 946664 1419996 1893328 2839992 3786656 5679984 11359968