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11108624 = 242989269
BaseRepresentation
bin101010011000…
…000100010000
3202220101011112
4222120010100
510320433444
61034032452
7163264442
oct52300420
922811145
1011108624
1162a808a
123878728
1323bc367
141692492
15e9669e
hexa98110

11108624 has 40 divisors (see below), whose sum is σ = 22599000. Its totient is φ = 5282816.

The previous prime is 11108611. The next prime is 11108651. The reversal of 11108624 is 42680111.

11108624 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 6400 + 11102224 = 80^2 + 3332^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 11108624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41162 + ... + 41430.

It is an arithmetic number, because the mean of its divisors is an integer number (564975).

Almost surely, 211108624 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 11108624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11299500).

11108624 is an abundant number, since it is smaller than the sum of its proper divisors (11490376).

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

11108624 is a wasteful number, since it uses less digits than its factorization.

11108624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11108624 is about 3332.9602457875. The cubic root of 11108624 is about 223.1276659103.

Adding to 11108624 its reverse (42680111), we get a palindrome (53788735).

The spelling of 11108624 in words is "eleven million, one hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 89 116 178 232 269 356 464 538 712 1076 1424 2152 2581 4304 5162 7801 10324 15602 20648 23941 31204 41296 47882 62408 95764 124816 191528 383056 694289 1388578 2777156 5554312 11108624