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99415680 = 2735713569
BaseRepresentation
bin1011110110011…
…11011010000000
320221001211200020
411323033122000
5200422300210
613510453440
72315006430
oct573173200
9227054606
1099415680
1151132521
1229364280
131779a860
14d2bc2c0
158adb770
hex5ecf680

99415680 has 256 divisors, whose sum is σ = 390700800. Its totient is φ = 20938752.

The previous prime is 99415663. The next prime is 99415681. The reversal of 99415680 is 8651499.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99415681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174436 + ... + 175004.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 299415680 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 99415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

99415680 is an abundant number, since it is smaller than the sum of its proper divisors (291285120).

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

99415680 is a wasteful number, since it uses less digits than its factorization.

99415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 99415680 is about 9970.7411961198. The cubic root of 99415680 is about 463.2530590303.

The spelling of 99415680 in words is "ninety-nine million, four hundred fifteen thousand, six hundred eighty".