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11108988 = 2235111039
BaseRepresentation
bin101010011000…
…001001111100
3202220101200000
4222120021330
510320441423
61034034300
7163265502
oct52301174
922811600
1011108988
1162a8390
123878990
1323bc587
141692672
15e96843
hexa9827c

11108988 has 72 divisors (see below), whose sum is σ = 31799040. Its totient is φ = 3363120.

The previous prime is 11108987. The next prime is 11108989. The reversal of 11108988 is 88980111.

It is an interprime number because it is at equal distance from previous prime (11108987) and next prime (11108989).

It is a super-2 number, since 2×111089882 = 246819228768288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11108983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10173 + ... + 11211.

Almost surely, 211108988 is an apocalyptic number.

11108988 is a gapful number since it is divisible by the number (18) 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 11108988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899520).

11108988 is an abundant number, since it is smaller than the sum of its proper divisors (20690052).

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

11108988 is a wasteful number, since it uses less digits than its factorization.

11108988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 11108988 is about 3333.0148514521. The cubic root of 11108988 is about 223.1301029834.

The spelling of 11108988 in words is "eleven million, one hundred eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1039 1188 1782 2078 2673 3117 3564 4156 5346 6234 9351 10692 11429 12468 18702 22858 28053 34287 37404 45716 56106 68574 84159 102861 112212 137148 168318 205722 252477 308583 336636 411444 504954 617166 925749 1009908 1234332 1851498 2777247 3702996 5554494 11108988