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99193860 = 22325737549
BaseRepresentation
bin1011110100110…
…01010000000100
320220122120101200
411322121100010
5200343200420
613502022500
72313063633
oct572312004
9226576350
1099193860
1150aa08a7
1229277a30
13177208bc
14d26151a
158a95b90
hex5e99404

99193860 has 72 divisors (see below), whose sum is σ = 305050200. Its totient is φ = 26085888.

The previous prime is 99193837. The next prime is 99193867. The reversal of 99193860 is 6839199.

It can be written as a sum of positive squares in 4 ways, for example, as 26193924 + 72999936 = 5118^2 + 8544^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (99193867) 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 23 ways as a sum of consecutive naturals, for example, 9366 + ... + 16914.

Almost surely, 299193860 is an apocalyptic number.

99193860 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 99193860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152525100).

99193860 is an abundant number, since it is smaller than the sum of its proper divisors (205856340).

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

99193860 is a wasteful number, since it uses less digits than its factorization.

99193860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 99193860 is about 9959.6114382038. The cubic root of 99193860 is about 462.9082599173.

The spelling of 99193860 in words is "ninety-nine million, one hundred ninety-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 7549 13140 15098 22647 30196 37745 45294 67941 75490 90588 113235 135882 150980 226470 271764 339705 452940 551077 679410 1102154 1358820 1653231 2204308 2755385 3306462 4959693 5510770 6612924 8266155 9919386 11021540 16532310 19838772 24798465 33064620 49596930 99193860