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99649760 = 2557193461
BaseRepresentation
bin1011111000010…
…00100011100000
320221111201202212
411330020203200
5201002243020
613515501252
72320003040
oct574104340
9227451685
1099649760
1151282381
1229457828
1317850272
14d33d720
158b35cc5
hex5f088e0

99649760 has 96 divisors (see below), whose sum is σ = 271035072. Its totient is φ = 33914880.

The previous prime is 99649727. The next prime is 99649763. The reversal of 99649760 is 6794699.

It is a junction number, because it is equal to n+sod(n) for n = 99649699 and 99649708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99649763) by changing a digit.

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, 215930 + ... + 216390.

It is an arithmetic number, because the mean of its divisors is an integer number (2823282).

Almost surely, 299649760 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 99649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135517536).

99649760 is an abundant number, since it is smaller than the sum of its proper divisors (171385312).

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

99649760 is a wasteful number, since it uses less digits than its factorization.

99649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 50.

The square root of 99649760 is about 9982.4726395818. The cubic root of 99649760 is about 463.6163594645.

The spelling of 99649760 in words is "ninety-nine million, six hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 193 224 280 386 461 560 772 922 965 1120 1351 1544 1844 1930 2305 2702 3088 3227 3688 3860 4610 5404 6176 6454 6755 7376 7720 9220 10808 12908 13510 14752 15440 16135 18440 21616 25816 27020 30880 32270 36880 43232 51632 54040 64540 73760 88973 103264 108080 129080 177946 216160 258160 355892 444865 516320 622811 711784 889730 1245622 1423568 1779460 2491244 2847136 3114055 3558920 4982488 6228110 7117840 9964976 12456220 14235680 19929952 24912440 49824880 99649760