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99240960 = 2103571371
BaseRepresentation
bin1011110101001…
…00110000000000
320220201222000010
411322210300000
5200401202320
613503024520
72313351150
oct572446000
9226658003
1099240960
1151023225
122929b140
1317739180
14d274760
158aa4ae0
hex5ea4c00

99240960 has 352 divisors, whose sum is σ = 396168192. Its totient is φ = 20643840.

The previous prime is 99240949. The next prime is 99240979. The reversal of 99240960 is 6904299.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1397725 + ... + 1397795.

Almost surely, 299240960 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 99240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198084096).

99240960 is an abundant number, since it is smaller than the sum of its proper divisors (296927232).

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

99240960 is a wasteful number, since it uses less digits than its factorization.

99240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 99240960 is about 9961.9757076596. The cubic root of 99240960 is about 462.9815155572.

The spelling of 99240960 in words is "ninety-nine million, two hundred forty thousand, nine hundred sixty".