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99999306 = 23311792131
BaseRepresentation
bin1011111010111…
…01111001001010
320222011111021000
411331131321022
5201044434211
613531155430
72322660111
oct575357112
9228144230
1099999306
11514a0a60
12295a5b76
13179433b4
14d3d0c78
158ba4656
hex5f5de4a

99999306 has 64 divisors (see below), whose sum is σ = 245606400. Its totient is φ = 29905200.

The previous prime is 99999259. The next prime is 99999307. The reversal of 99999306 is 60399999.

It is a super-2 number, since 2×999993062 = 19999722400963272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99999307) by changing a digit.

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, 45861 + ... + 47991.

It is an arithmetic number, because the mean of its divisors is an integer number (3837600).

Almost surely, 299999306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99999306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122803200).

99999306 is an abundant number, since it is smaller than the sum of its proper divisors (145607094).

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

99999306 is a wasteful number, since it uses less digits than its factorization.

99999306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 99999306 is about 9999.9652999398. The cubic root of 99999306 is about 464.1578096046.

The spelling of 99999306 in words is "ninety-nine million, nine hundred ninety-nine thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2131 2133 2607 4262 4266 5214 6393 7821 12786 15642 19179 23441 23463 38358 46882 46926 57537 70323 115074 140646 168349 210969 336698 421938 505047 632907 1010094 1265814 1515141 1851839 3030282 3703678 4545423 5555517 9090846 11111034 16666551 33333102 49999653 99999306