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11122480 = 245413391
BaseRepresentation
bin101010011011…
…011100110000
3202221002011201
4222123130300
510321404410
61034220544
7163353025
oct52333460
922832151
1011122480
116307536
123884754
1323c5765
14169754c
15e9a83a
hexa9b730

11122480 has 40 divisors (see below), whose sum is σ = 26498304. Its totient is φ = 4339200.

The previous prime is 11122451. The next prime is 11122481. The reversal of 11122480 is 8422111.

It is a happy number.

11122480 is digitally balanced in base 2, because in such base 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 (40).

It is a super-2 number, since 2×111224802 = 247419122700800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11122481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585 + ... + 4975.

Almost surely, 211122480 is an apocalyptic number.

11122480 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 11122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249152).

11122480 is an abundant number, since it is smaller than the sum of its proper divisors (15375824).

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

11122480 is a wasteful number, since it uses less digits than its factorization.

11122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11122480 is about 3335.0382306654. The cubic root of 11122480 is about 223.2203978395.

Adding to 11122480 its reverse (8422111), we get a palindrome (19544591).

The spelling of 11122480 in words is "eleven million, one hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3391 6782 13564 16955 27128 33910 54256 67820 135640 139031 271280 278062 556124 695155 1112248 1390310 2224496 2780620 5561240 11122480