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99900864 = 263472753
BaseRepresentation
bin1011111010001…
…01110111000000
320221222111020000
411331011313000
5201033311424
613525120000
72322100110
oct575056700
9227874200
1099900864
1151433aa8
1229559000
131790a64b
14d3a7040
158b853c9
hex5f45dc0

99900864 has 140 divisors (see below), whose sum is σ = 338565744. Its totient is φ = 28532736.

The previous prime is 99900863. The next prime is 99900877. The reversal of 99900864 is 46800999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99900863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34912 + ... + 37664.

Almost surely, 299900864 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 99900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169282872).

99900864 is an abundant number, since it is smaller than the sum of its proper divisors (238664880).

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

99900864 is a wasteful number, since it uses less digits than its factorization.

99900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99900864 is about 9995.0419708974. The cubic root of 99900864 is about 464.0054497973.

The spelling of 99900864 in words is "ninety-nine million, nine hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 2753 3024 4032 4536 5184 5506 6048 8259 9072 11012 12096 16518 18144 19271 22024 24777 33036 36288 38542 44048 49554 57813 66072 74331 77084 88096 99108 115626 132144 148662 154168 173439 176192 198216 222993 231252 264288 297324 308336 346878 396432 445986 462504 520317 528576 594648 616672 693756 792864 891972 925008 1040634 1189296 1233344 1387512 1560951 1585728 1783944 1850016 2081268 2378592 2775024 3121902 3567888 3700032 4162536 4757184 5550048 6243804 7135776 8325072 11100096 12487608 14271552 16650144 24975216 33300288 49950432 99900864