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90992520 = 233251953251
BaseRepresentation
bin1010110110001…
…10111110001000
320100012220021100
411123012332020
5141243230040
613010141400
72153265213
oct533067610
9210186240
1090992520
11473aa033
1226581860
1315b0b938
14c12877a
157ec5b30
hex56c6f88

90992520 has 192 divisors, whose sum is σ = 318427200. Its totient is φ = 22464000.

The previous prime is 90992519. The next prime is 90992537. The reversal of 90992520 is 2529909.

It is a Cunningham number, because it is equal to 95392-1.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362395 + ... + 362645.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 290992520 is an apocalyptic number.

90992520 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 90992520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

90992520 is an abundant number, since it is smaller than the sum of its proper divisors (227434680).

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

90992520 is a wasteful number, since it uses less digits than its factorization.

90992520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90992520 is about 9538.9999475836. Note that the first 4 decimals coincide. The cubic root of 90992520 is about 449.7818201598.

The spelling of 90992520 in words is "ninety million, nine hundred ninety-two thousand, five hundred twenty".