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99506720 = 2555691093
BaseRepresentation
bin1011110111001…
…01101000100000
320221020110120002
411323211220200
5200433203340
613512435132
72315536025
oct573455040
9227213502
1099506720
1151194965
12293a8aa8
1317800121
14d30354c
158b08715
hex5ee5a20

99506720 has 48 divisors (see below), whose sum is σ = 235713240. Its totient is φ = 39696384.

The previous prime is 99506711. The next prime is 99506777. The reversal of 99506720 is 2760599.

It can be written as a sum of positive squares in 4 ways, for example, as 89946256 + 9560464 = 9484^2 + 3092^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90494 + ... + 91586.

Almost surely, 299506720 is an apocalyptic number.

It is an amenable number.

99506720 is an abundant number, since it is smaller than the sum of its proper divisors (136206520).

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

99506720 is a wasteful number, since it uses less digits than its factorization.

99506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 99506720 is about 9975.3055091060. The cubic root of 99506720 is about 463.3944240250.

The spelling of 99506720 in words is "ninety-nine million, five hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 569 1093 1138 2186 2276 2845 4372 4552 5465 5690 8744 9104 10930 11380 17488 18208 21860 22760 34976 43720 45520 87440 91040 174880 621917 1243834 2487668 3109585 4975336 6219170 9950672 12438340 19901344 24876680 49753360 99506720