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99942300 = 223252293379
BaseRepresentation
bin1011111010011…
…11111110011100
320222001121001200
411331033332130
5201041123200
613530035500
72322331653
oct575177634
9228047050
1099942300
1151462147
1229578b90
1317923473
14d3b819a
158b92800
hex5f4ff9c

99942300 has 108 divisors (see below), whose sum is σ = 315162120. Its totient is φ = 26490240.

The previous prime is 99942289. The next prime is 99942317. The reversal of 99942300 is 324999.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 263511 + ... + 263889.

Almost surely, 299942300 is an apocalyptic number.

99942300 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99942300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157581060).

99942300 is an abundant number, since it is smaller than the sum of its proper divisors (215219820).

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

99942300 is a wasteful number, since it uses less digits than its factorization.

99942300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99942300 is about 9997.1145837186. The cubic root of 99942300 is about 464.0695929603.

The spelling of 99942300 in words is "ninety-nine million, nine hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 293 300 379 450 586 758 879 900 1137 1172 1465 1516 1758 1895 2274 2637 2930 3411 3516 3790 4395 4548 5274 5685 5860 6822 7325 7580 8790 9475 10548 11370 13185 13644 14650 17055 17580 18950 21975 22740 26370 28425 29300 34110 37900 43950 52740 56850 65925 68220 85275 87900 111047 113700 131850 170550 222094 263700 333141 341100 444188 555235 666282 999423 1110470 1332564 1665705 1998846 2220940 2776175 3331410 3997692 4997115 5552350 6662820 8328525 9994230 11104700 16657050 19988460 24985575 33314100 49971150 99942300