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90019880 = 2359723201
BaseRepresentation
bin1010101110110…
…01100000101000
320021101111001122
411113121200220
5141021114010
612533234412
72142104426
oct527314050
9207344048
1090019880
11468a52a5
1226192a08
131585b002
14bd54116
157d82855
hex55d9828

90019880 has 32 divisors (see below), whose sum is σ = 204641640. Its totient is φ = 35635200.

The previous prime is 90019859. The next prime is 90019889. The reversal of 90019880 is 8891009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85414564 + 4605316 = 9242^2 + 2146^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90019880.

It is not an unprimeable number, because it can be changed into a prime (90019889) 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, 7721 + ... + 15480.

Almost surely, 290019880 is an apocalyptic number.

It is an amenable number.

90019880 is an abundant number, since it is smaller than the sum of its proper divisors (114621760).

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

90019880 is a wasteful number, since it uses less digits than its factorization.

90019880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23309 (or 23305 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 90019880 is about 9487.8806906495. The cubic root of 90019880 is about 448.1734686437.

It can be divided in two parts, 9001 and 9880, that added together give a palindrome (18881).

The spelling of 90019880 in words is "ninety million, nineteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 23201 46402 92804 116005 185608 232010 464020 928040 2250497 4500994 9001988 11252485 18003976 22504970 45009940 90019880