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90253620 = 22325501409
BaseRepresentation
bin1010110000100…
…10100100110100
320021211100200200
411120102210310
5141101103440
612542240500
72144100042
oct530224464
9207740620
1090253620
1146a44976
1226286130
1315910512
14bdb5392
157dcbc30
hex5612934

90253620 has 36 divisors (see below), whose sum is σ = 273769860. Its totient is φ = 24067584.

The previous prime is 90253609. The next prime is 90253627. The reversal of 90253620 is 2635209.

It can be written as a sum of positive squares in 2 ways, for example, as 34363044 + 55890576 = 5862^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90253627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250525 + ... + 250884.

Almost surely, 290253620 is an apocalyptic number.

90253620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90253620 is an abundant number, since it is smaller than the sum of its proper divisors (183516240).

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

90253620 is a wasteful number, since it uses less digits than its factorization.

90253620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501424 (or 501419 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90253620 is about 9500.1905244053. The cubic root of 90253620 is about 448.5610331440.

Adding to 90253620 its reverse (2635209), we get a palindrome (92888829).

The spelling of 90253620 in words is "ninety million, two hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 501409 1002818 1504227 2005636 2507045 3008454 4512681 5014090 6016908 7521135 9025362 10028180 15042270 18050724 22563405 30084540 45126810 90253620