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90716640 = 2535731929
BaseRepresentation
bin1010110100000…
…11100111100000
320022200212211120
411122003213200
5141210413030
613000212240
72151036000
oct532034740
9208625746
1090716640
1147230833
122646a080
1315a431b1
14c096000
157e6e010
hex56839e0

90716640 has 384 divisors, whose sum is σ = 362880000. Its totient is φ = 18966528.

The previous prime is 90716603. The next prime is 90716653. The reversal of 90716640 is 4661709.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3128146 + ... + 3128174.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 290716640 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 90716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

90716640 is an abundant number, since it is smaller than the sum of its proper divisors (272163360).

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

90716640 is a wasteful number, since it uses less digits than its factorization.

90716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90716640 is about 9524.5283347786. The cubic root of 90716640 is about 449.3267958517.

The spelling of 90716640 in words is "ninety million, seven hundred sixteen thousand, six hundred forty".