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99729090 = 2335431857
BaseRepresentation
bin1011111000110…
…11111011000010
320221122202121000
411330123323002
5201012312330
613521312430
72320453236
oct574337302
9227582530
1099729090
1151326a3a
1229495716
131787a3c6
14d3605c6
158b4e560
hex5f1bec2

99729090 has 64 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 26501760.

The previous prime is 99729067. The next prime is 99729103. The reversal of 99729090 is 9092799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115942 + ... + 116798.

It is an arithmetic number, because the mean of its divisors is an integer number (4169880).

Almost surely, 299729090 is an apocalyptic number.

99729090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99729090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).

99729090 is an abundant number, since it is smaller than the sum of its proper divisors (167143230).

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

99729090 is a wasteful number, since it uses less digits than its factorization.

99729090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 99729090 is about 9986.4453135237. The cubic root of 99729090 is about 463.7393533397.

The spelling of 99729090 in words is "ninety-nine million, seven hundred twenty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 431 857 862 1293 1714 2155 2571 2586 3879 4285 4310 5142 6465 7713 7758 8570 11637 12855 12930 15426 19395 23139 23274 25710 38565 38790 46278 58185 77130 115695 116370 231390 369367 738734 1108101 1846835 2216202 3324303 3693670 5540505 6648606 9972909 11081010 16621515 19945818 33243030 49864545 99729090