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11109480 = 2335432153
BaseRepresentation
bin101010011000…
…010001101000
3202220102100020
4222120101220
510321000410
61034040440
7163300104
oct52302150
922812306
1011109480
1162a8798
123879120
1323bc875
141692904
15e96a70
hexa98468

11109480 has 64 divisors (see below), whose sum is σ = 34119360. Its totient is φ = 2892288.

The previous prime is 11109479. The next prime is 11109487. The reversal of 11109480 is 8490111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11109480.

It is not an unprimeable number, because it can be changed into a prime (11109487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4084 + ... + 6236.

It is an arithmetic number, because the mean of its divisors is an integer number (533115).

Almost surely, 211109480 is an apocalyptic number.

11109480 is a gapful number since it is divisible by the number (10) 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 11109480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17059680).

11109480 is an abundant number, since it is smaller than the sum of its proper divisors (23009880).

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

11109480 is a wasteful number, since it uses less digits than its factorization.

11109480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11109480 is about 3333.0886576867. The cubic root of 11109480 is about 223.1333969645.

Adding to 11109480 its reverse (8490111), we get a palindrome (19599591).

The spelling of 11109480 in words is "eleven million, one hundred nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2153 2580 4306 5160 6459 8612 10765 12918 17224 21530 25836 32295 43060 51672 64590 86120 92579 129180 185158 258360 277737 370316 462895 555474 740632 925790 1110948 1388685 1851580 2221896 2777370 3703160 5554740 11109480