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90012384 = 2534711241
BaseRepresentation
bin1010101110101…
…11101011100000
320021101002210000
411113113223200
5141020344014
612533140000
72142043530
oct527275340
9207332700
1090012384
114689a700
122618a600
1315857787
14bd514c0
157d80509
hex55d7ae0

90012384 has 360 divisors, whose sum is σ = 340656624. Its totient is φ = 22809600.

The previous prime is 90012361. The next prime is 90012397. The reversal of 90012384 is 48321009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2195404 + ... + 2195444.

Almost surely, 290012384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90012384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170328312).

90012384 is an abundant number, since it is smaller than the sum of its proper divisors (250644240).

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

90012384 is a wasteful number, since it uses less digits than its factorization.

90012384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90012384 is about 9487.4856521631. The cubic root of 90012384 is about 448.1610284228.

The spelling of 90012384 in words is "ninety million, twelve thousand, three hundred eighty-four".