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99730080 = 2532569257
BaseRepresentation
bin1011111000111…
…00001010100000
320221122210221200
411330130022200
5201012330310
613521321200
72320456152
oct574341240
9227583850
1099730080
115132775a
1229496200
131787a9a8
14d360ad2
158b4e9c0
hex5f1c2a0

99730080 has 72 divisors (see below), whose sum is σ = 340333812. Its totient is φ = 26594304.

The previous prime is 99730073. The next prime is 99730087. The reversal of 99730080 is 8003799.

It is an interprime number because it is at equal distance from previous prime (99730073) and next prime (99730087).

It can be written as a sum of positive squares in 2 ways, for example, as 98962704 + 767376 = 9948^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99730087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33189 + ... + 36068.

Almost surely, 299730080 is an apocalyptic number.

99730080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99730080 is an abundant number, since it is smaller than the sum of its proper divisors (240603732).

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

99730080 is a wasteful number, since it uses less digits than its factorization.

99730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69278 (or 69267 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99730080 is about 9986.4948805875. The cubic root of 99730080 is about 463.7408878316.

The spelling of 99730080 in words is "ninety-nine million, seven hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 69257 138514 207771 277028 346285 415542 554056 623313 692570 831084 1038855 1108112 1246626 1385140 1662168 2077710 2216224 2493252 2770280 3116565 3324336 4155420 4986504 5540560 6233130 6648672 8310840 9973008 11081120 12466260 16621680 19946016 24932520 33243360 49865040 99730080