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99807 = 31719103
BaseRepresentation
bin11000010111011111
312001220120
4120113133
511143212
62050023
7563661
oct302737
9161816
1099807
1168a94
1249913
1336576
1428531
151e88c
hex185df

99807 has 16 divisors (see below), whose sum is σ = 149760. Its totient is φ = 58752.

The previous prime is 99793. The next prime is 99809. The reversal of 99807 is 70899.

It is not a de Polignac number, because 99807 - 27 = 99679 is a prime.

It is a super-2 number, since 2×998072 = 19922874498, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99807.

It is not an unprimeable number, because it can be changed into a prime (99809) 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 15 ways as a sum of consecutive naturals, for example, 918 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

299807 is an apocalyptic number.

99807 is a deficient number, since it is larger than the sum of its proper divisors (49953).

99807 is a wasteful number, since it uses less digits than its factorization.

99807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 99807 is about 315.9224588408. The cubic root of 99807 is about 46.3860082168.

The spelling of 99807 in words is "ninety-nine thousand, eight hundred seven".

Divisors: 1 3 17 19 51 57 103 309 323 969 1751 1957 5253 5871 33269 99807