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11088018 = 232312641
BaseRepresentation
bin101010010011…
…000010010010
3202212022220100
4222103002102
510314304033
61033353230
7163150404
oct52230222
922768810
1011088018
116293657
123868816
1323b2b76
141688b74
15e90513
hexa93092

11088018 has 36 divisors (see below), whose sum is σ = 24862734. Its totient is φ = 3571200.

The previous prime is 11087983. The next prime is 11088019. The reversal of 11088018 is 81088011.

It can be written as a sum of positive squares in only one way, i.e., 7273809 + 3814209 = 2697^2 + 1953^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11087982 and 11088000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11088019) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16978 + ... + 17618.

Almost surely, 211088018 is an apocalyptic number.

11088018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11088018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431367).

11088018 is an abundant number, since it is smaller than the sum of its proper divisors (13774716).

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

11088018 is a wasteful number, since it uses less digits than its factorization.

11088018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 11088018 is about 3329.8675649341. The cubic root of 11088018 is about 222.9896165743.

It can be divided in two parts, 1108801 and 8, that added together give a square (1108809 = 10532).

The spelling of 11088018 in words is "eleven million, eighty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 641 961 1282 1922 1923 2883 3846 5766 5769 8649 11538 17298 19871 39742 59613 119226 178839 357678 616001 1232002 1848003 3696006 5544009 11088018