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90897120 = 2533553397
BaseRepresentation
bin1010110101011…
…11101011100000
320100001001102000
411122233223200
5141232201440
613004124000
72152420116
oct532575340
9210031360
1090897120
1147344396
1226536600
1315aa73a2
14c101ab6
157ea7730
hex56afae0

90897120 has 192 divisors, whose sum is σ = 324959040. Its totient is φ = 23721984.

The previous prime is 90897109. The next prime is 90897139. The reversal of 90897120 is 2179809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228762 + ... + 229158.

It is an arithmetic number, because the mean of its divisors is an integer number (1692495).

Almost surely, 290897120 is an apocalyptic number.

90897120 is a gapful number since it is divisible by the number (90) 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 90897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162479520).

90897120 is an abundant number, since it is smaller than the sum of its proper divisors (234061920).

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

90897120 is a wasteful number, since it uses less digits than its factorization.

90897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 90897120 is about 9533.9981120200. The cubic root of 90897120 is about 449.6245757685.

Adding to 90897120 its sum of digits (36), we get a square (90897156 = 95342).

The spelling of 90897120 in words is "ninety million, eight hundred ninety-seven thousand, one hundred twenty".