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11100096 = 263272753
BaseRepresentation
bin101010010101…
…111111000000
3202212221110200
4222111333000
510320200341
61033525200
7163230540
oct52257700
922787420
1011100096
1162a1737
123873800
1323b8507
14168d320
15e93db6
hexa95fc0

11100096 has 84 divisors (see below), whose sum is σ = 36374832. Its totient is φ = 3170304.

The previous prime is 11100079. The next prime is 11100097. The reversal of 11100096 is 69000111.

11100096 is digitally balanced in base 2 and base 4, because in such bases 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 (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2656 + ... + 5408.

Almost surely, 211100096 is an apocalyptic number.

11100096 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 11100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187416).

11100096 is an abundant number, since it is smaller than the sum of its proper divisors (25274736).

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

11100096 is a wasteful number, since it uses less digits than its factorization.

11100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11100096 is about 3331.6806569658. The cubic root of 11100096 is about 223.0705535301.

The spelling of 11100096 in words is "eleven million, one hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 2753 4032 5506 8259 11012 16518 19271 22024 24777 33036 38542 44048 49554 57813 66072 77084 88096 99108 115626 132144 154168 173439 176192 198216 231252 264288 308336 346878 396432 462504 528576 616672 693756 792864 925008 1233344 1387512 1585728 1850016 2775024 3700032 5550048 11100096