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99640840 = 23513892153
BaseRepresentation
bin1011111000001…
…10011000001000
320221111021112111
411330012120020
5201002001330
613515352104
72316635035
oct574063010
9227437474
1099640840
1151276702
1229452634
13178491a0
14d33a38c
158b3332a
hex5f06608

99640840 has 64 divisors (see below), whose sum is σ = 244263600. Its totient is φ = 36360192.

The previous prime is 99640831. The next prime is 99640873. The reversal of 99640840 is 4804699.

It can be written as a sum of positive squares in 8 ways, for example, as 956484 + 98684356 = 978^2 + 9934^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 99640793 and 99640802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45204 + ... + 47356.

Almost surely, 299640840 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 99640840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122131800).

99640840 is an abundant number, since it is smaller than the sum of its proper divisors (144622760).

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

99640840 is a wasteful number, since it uses less digits than its factorization.

99640840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 99640840 is about 9982.0258464903. The cubic root of 99640840 is about 463.6025257422.

The spelling of 99640840 in words is "ninety-nine million, six hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2153 2314 3560 4306 4628 5785 8612 9256 10765 11570 17224 21530 23140 27989 43060 46280 55978 86120 111956 139945 191617 223912 279890 383234 559780 766468 958085 1119560 1532936 1916170 2491021 3832340 4982042 7664680 9964084 12455105 19928168 24910210 49820420 99640840