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99520 = 265311
BaseRepresentation
bin11000010011000000
312001111221
4120103000
511141040
62044424
7563101
oct302300
9161457
1099520
1168853
1249714
13363b5
14283a8
151e74a
hex184c0

99520 has 28 divisors (see below), whose sum is σ = 237744. Its totient is φ = 39680.

The previous prime is 99497. The next prime is 99523. The reversal of 99520 is 2599.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99523) by changing a digit.

99520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165 + ... + 475.

299520 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 99520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872).

99520 is an abundant number, since it is smaller than the sum of its proper divisors (138224).

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

99520 is a wasteful number, since it uses less digits than its factorization.

99520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 99520 is about 315.4679064501. The cubic root of 99520 is about 46.3415037722.

It can be divided in two parts, 995 and 20, that multiplied together give a triangular number (19900 = T199).

The spelling of 99520 in words is "ninety-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 311 320 622 1244 1555 2488 3110 4976 6220 9952 12440 19904 24880 49760 99520