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11108032 = 2613379
BaseRepresentation
bin101010010111…
…111011000000
3202220100100121
4222113323000
510320424112
61034030024
7163262635
oct52277300
922810317
1011108032
1162a76a1
123878314
1323bc000
14169218c
15e96407
hexa97ec0

11108032 has 56 divisors (see below), whose sum is σ = 24180800. Its totient is φ = 5061888.

The previous prime is 11107969. The next prime is 11108047. The reversal of 11108032 is 23080111.

11108032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11107997 and 11108015.

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, 140569 + ... + 140647.

It is an arithmetic number, because the mean of its divisors is an integer number (431800).

Almost surely, 211108032 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 11108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090400).

11108032 is an abundant number, since it is smaller than the sum of its proper divisors (13072768).

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

11108032 is an frugal number, since it uses more digits than its factorization.

11108032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11108032 is about 3332.8714346641. The cubic root of 11108032 is about 223.1237022054.

Adding to 11108032 its reverse (23080111), we get a palindrome (34188143).

The spelling of 11108032 in words is "eleven million, one hundred eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 169 208 316 338 416 632 676 832 1027 1264 1352 2054 2197 2528 2704 4108 4394 5056 5408 8216 8788 10816 13351 16432 17576 26702 32864 35152 53404 65728 70304 106808 140608 173563 213616 347126 427232 694252 854464 1388504 2777008 5554016 11108032