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99000363 = 37114110453
BaseRepresentation
bin1011110011010…
…10000000101011
320220021201222010
411321222000223
5200321002423
613453531003
72311326540
oct571520053
9226251863
1099000363
1150979490
12291a3a63
13176837c7
14d210bc7
158a58693
hex5e6a02b

99000363 has 32 divisors (see below), whose sum is σ = 168602112. Its totient is φ = 50169600.

The previous prime is 99000361. The next prime is 99000371. The reversal of 99000363 is 36300099.

It is not a de Polignac number, because 99000363 - 21 = 99000361 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

99000363 is a modest number, since divided by 363 gives 99 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 99000363.

It is not an unprimeable number, because it can be changed into a prime (99000361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4245 + ... + 14697.

It is an arithmetic number, because the mean of its divisors is an integer number (5268816).

Almost surely, 299000363 is an apocalyptic number.

99000363 is a deficient number, since it is larger than the sum of its proper divisors (69601749).

99000363 is a wasteful number, since it uses less digits than its factorization.

99000363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 99000363 is about 9949.8926124858. The cubic root of 99000363 is about 462.6070663255.

It can be divided in two parts, 99000 and 363, that multiplied together give a cube (35937000 = 3303).

The spelling of 99000363 in words is "ninety-nine million, three hundred sixty-three", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 3157 9471 10453 31359 73171 114983 219513 344949 428573 804881 1285719 2414643 3000011 4714303 9000033 14142909 33000121 99000363