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90000080 = 2451125001
BaseRepresentation
bin1010101110101…
…00101011010000
320021100110220022
411113110223100
5141020000310
612533003012
72141662622
oct527245320
9207313808
1090000080
1146891435
1226183468
1315851cb1
14bd4ac12
157d7ba55
hex55d4ad0

90000080 has 20 divisors (see below), whose sum is σ = 209250372. Its totient is φ = 36000000.

The previous prime is 90000073. The next prime is 90000083. The reversal of 90000080 is 8000009.

It can be written as a sum of positive squares in 2 ways, for example, as 34527376 + 55472704 = 5876^2 + 7448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90000083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562421 + ... + 562580.

Almost surely, 290000080 is an apocalyptic number.

It is an amenable number.

90000080 is an abundant number, since it is smaller than the sum of its proper divisors (119250292).

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

90000080 is a wasteful number, since it uses less digits than its factorization.

90000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125014 (or 1125008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 90000080 is about 9486.8371968744. The cubic root of 90000080 is about 448.1406074380.

Adding to 90000080 its reverse (8000009), we get a palindrome (98000089).

The spelling of 90000080 in words is "ninety million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 1125001 2250002 4500004 5625005 9000008 11250010 18000016 22500020 45000040 90000080