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11000088 = 233211171943
BaseRepresentation
bin101001111101…
…100100011000
3202200212021200
4221331210120
510304000323
61031434200
7162333141
oct51754430
922625250
1011000088
116233590
123825960
132381b38
141664ac8
15e74443
hexa7d918

11000088 has 192 divisors, whose sum is σ = 37065600. Its totient is φ = 2903040.

The previous prime is 11000083. The next prime is 11000089. The reversal of 11000088 is 88000011.

It is a happy number.

11000088 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 (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11000088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255795 + ... + 255837.

It is an arithmetic number, because the mean of its divisors is an integer number (193050).

Almost surely, 211000088 is an apocalyptic number.

11000088 is a gapful number since it is divisible by the number (18) 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 11000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

11000088 is an abundant number, since it is smaller than the sum of its proper divisors (26065512).

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

11000088 is a wasteful number, since it uses less digits than its factorization.

11000088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11000088 is about 3316.6380568280. The cubic root of 11000088 is about 222.3986021167.

11000088 divided by its sum of digits (18) gives a palindrome (611116).

Adding to 11000088 its reverse (88000011), we get a palindrome (99000099).

The spelling of 11000088 in words is "eleven million, eighty-eight", and thus it is an aban number and an uban number.