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11112090 = 23511151223
BaseRepresentation
bin101010011000…
…111010011010
3202220112220220
4222120322122
510321041330
61034100510
7163310523
oct52307232
922815826
1011112090
1162aa750
12387a736
1323c0b02
14169384a
15e97710
hexa98e9a

11112090 has 64 divisors (see below), whose sum is σ = 29417472. Its totient is φ = 2664000.

The previous prime is 11112047. The next prime is 11112091. The reversal of 11112090 is 9021111.

11112090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11112091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49719 + ... + 49941.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 211112090 is an apocalyptic number.

11112090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736).

11112090 is an abundant number, since it is smaller than the sum of its proper divisors (18305382).

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

11112090 is a wasteful number, since it uses less digits than its factorization.

11112090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 11112090 is about 3333.4801634328. The cubic root of 11112090 is about 223.1508695064.

It can be divided in two parts, 11 and 112090, that added together give a triangular number (112101 = T473).

The spelling of 11112090 in words is "eleven million, one hundred twelve thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 223 302 330 446 453 669 755 906 1115 1338 1510 1661 2230 2265 2453 3322 3345 4530 4906 4983 6690 7359 8305 9966 12265 14718 16610 24530 24915 33673 36795 49830 67346 73590 101019 168365 202038 336730 370403 505095 740806 1010190 1111209 1852015 2222418 3704030 5556045 11112090