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99467680 = 25513172997
BaseRepresentation
bin1011110110111…
…00000110100000
320221011111000011
411323130012200
5200430431210
613511534304
72315314144
oct573340640
9227144004
1099467680
11511685a4
122938a394
13177b8420
14d2d3224
158aebd8a
hex5edc1a0

99467680 has 192 divisors, whose sum is σ = 280052640. Its totient is φ = 33030144.

The previous prime is 99467659. The next prime is 99467713. The reversal of 99467680 is 8676499.

It can be written as a sum of positive squares in 16 ways, for example, as 6615184 + 92852496 = 2572^2 + 9636^2 .

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 463.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025392 + ... + 1025488.

Almost surely, 299467680 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 99467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140026320).

99467680 is an abundant number, since it is smaller than the sum of its proper divisors (180584960).

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

99467680 is a wasteful number, since it uses less digits than its factorization.

99467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 99467680 is about 9973.3484848370. The cubic root of 99467680 is about 463.3338140993. Note that the first 3 decimals are identical.

The spelling of 99467680 in words is "ninety-nine million, four hundred sixty-seven thousand, six hundred eighty".