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99933420 = 22352979727
BaseRepresentation
bin1011111010011…
…01110011101100
320222001010212210
411331031303230
5201040332140
613525530420
72322264036
oct575156354
9228033783
1099933420
1151456504
1229573a10
131791c402
14d3b4c56
158b8ed80
hex5f4dcec

99933420 has 96 divisors (see below), whose sum is σ = 293529600. Its totient is φ = 25369344.

The previous prime is 99933403. The next prime is 99933443. The reversal of 99933420 is 2433999.

It is a super-3 number, since 3×999334203 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137097 + ... + 137823.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 299933420 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 99933420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

99933420 is an abundant number, since it is smaller than the sum of its proper divisors (193596180).

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

99933420 is a wasteful number, since it uses less digits than its factorization.

99933420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 99933420 is about 9996.6704457034. The cubic root of 99933420 is about 464.0558481628.

The spelling of 99933420 in words is "ninety-nine million, nine hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 79 87 116 145 158 174 237 290 316 348 395 435 474 580 727 790 870 948 1185 1454 1580 1740 2181 2291 2370 2908 3635 4362 4582 4740 6873 7270 8724 9164 10905 11455 13746 14540 21083 21810 22910 27492 34365 42166 43620 45820 57433 63249 68730 84332 105415 114866 126498 137460 172299 210830 229732 252996 287165 316245 344598 421660 574330 632490 689196 861495 1148660 1264980 1665557 1722990 3331114 3445980 4996671 6662228 8327785 9993342 16655570 19986684 24983355 33311140 49966710 99933420