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99729640 = 23515792
BaseRepresentation
bin1011111000111…
…00000011101000
320221122210100101
411330130003220
5201012322030
613521315144
72320454653
oct574340350
9227583311
1099729640
115132739a
1229495ab4
131787a72a
14d36089a
158b4e7ca
hex5f1c0e8

99729640 has 24 divisors (see below), whose sum is σ = 224533890. Its totient is φ = 39866592.

The previous prime is 99729631. The next prime is 99729649. The reversal of 99729640 is 4692799.

It is an interprime number because it is at equal distance from previous prime (99729631) and next prime (99729649).

It can be written as a sum of positive squares in only one way, i.e., 89756676 + 9972964 = 9474^2 + 3158^2 .

It is a super-3 number, since 3×997296403 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (99729649) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 62371 + ... + 63949.

Almost surely, 299729640 is an apocalyptic number.

It is an amenable number.

99729640 is an abundant number, since it is smaller than the sum of its proper divisors (124804250).

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

99729640 is an equidigital number, since it uses as much as digits as its factorization.

99729640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 99729640 is about 9986.4728508117. The cubic root of 99729640 is about 463.7402058364.

The spelling of 99729640 in words is "ninety-nine million, seven hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1579 3158 6316 7895 12632 15790 31580 63160 2493241 4986482 9972964 12466205 19945928 24932410 49864820 99729640