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99036 = 22337131
BaseRepresentation
bin11000001011011100
312000212000
4120023130
511132121
62042300
7561510
oct301334
9160760
1099036
1168453
1249390
1336102
1428140
151e526
hex182dc

99036 has 48 divisors (see below), whose sum is σ = 295680. Its totient is φ = 28080.

The previous prime is 99023. The next prime is 99041. The reversal of 99036 is 63099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

99036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

299036 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 99036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840).

99036 is an abundant number, since it is smaller than the sum of its proper divisors (196644).

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

99036 is a wasteful number, since it uses less digits than its factorization.

99036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 99036 is about 314.6998570066. The cubic root of 99036 is about 46.2662567638.

Subtracting from 99036 its reverse (63099), we obtain a cube (35937 = 333).

It can be divided in two parts, 9 and 9036, that added together give a triangular number (9045 = T134).

The spelling of 99036 in words is "ninety-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 378 393 524 756 786 917 1179 1572 1834 2358 2751 3537 3668 4716 5502 7074 8253 11004 14148 16506 24759 33012 49518 99036