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11110016 = 27294173
BaseRepresentation
bin101010011000…
…011010000000
3202220110002002
4222120122000
510321010031
61034043132
7163301501
oct52303200
922813062
1011110016
1162a9135
1238794a8
1323bcb98
141692ba8
15e96ccb
hexa98680

11110016 has 64 divisors (see below), whose sum is σ = 23776200. Its totient is φ = 5160960.

The previous prime is 11109983. The next prime is 11110031. The reversal of 11110016 is 61001111.

It can be written as a sum of positive squares in 4 ways, for example, as 7268416 + 3841600 = 2696^2 + 1960^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11109979 and 11110006.

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, 152156 + ... + 152228.

Almost surely, 211110016 is an apocalyptic number.

11110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11888100).

11110016 is an abundant number, since it is smaller than the sum of its proper divisors (12666184).

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

11110016 is an equidigital number, since it uses as much as digits as its factorization.

11110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 11110016 is about 3333.1690626189. The cubic root of 11110016 is about 223.1369854186.

Adding to 11110016 its reverse (61001111), we get a palindrome (72111127).

The spelling of 11110016 in words is "eleven million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 41 58 64 73 82 116 128 146 164 232 292 328 464 584 656 928 1168 1189 1312 1856 2117 2336 2378 2624 2993 3712 4234 4672 4756 5248 5986 8468 9344 9512 11972 16936 19024 23944 33872 38048 47888 67744 76096 86797 95776 135488 152192 173594 191552 270976 347188 383104 694376 1388752 2777504 5555008 11110016