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99138 = 23133141
BaseRepresentation
bin11000001101000010
312000222210
4120031002
511133023
62042550
7562014
oct301502
9160883
1099138
1168536
1249456
1336180
14281b4
151e593
hex18342

99138 has 32 divisors (see below), whose sum is σ = 225792. Its totient is φ = 28800.

The previous prime is 99137. The next prime is 99139. The reversal of 99138 is 83199.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99137) and next prime (99139).

It is a Curzon number.

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 99138.

It is not an unprimeable number, because it can be changed into a prime (99131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2398 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

299138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

99138 is an abundant number, since it is smaller than the sum of its proper divisors (126654).

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

99138 is a wasteful number, since it uses less digits than its factorization.

99138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its digits is 1944, while the sum is 30.

The square root of 99138 is about 314.8618744783. The cubic root of 99138 is about 46.2821349596.

The spelling of 99138 in words is "ninety-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 123 186 246 403 533 806 1066 1209 1271 1599 2418 2542 3198 3813 7626 16523 33046 49569 99138