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99060 = 223513127
BaseRepresentation
bin11000001011110100
312000212220
4120023310
511132220
62042340
7561543
oct301364
9160786
1099060
1168475
12493b0
1336120
142815a
151e540
hex182f4

99060 has 48 divisors (see below), whose sum is σ = 301056. Its totient is φ = 24192.

The previous prime is 99053. The next prime is 99079. The reversal of 99060 is 6099.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99060.

It is a congruent number.

It is an unprimeable number.

99060 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, 717 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (6272).

299060 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 99060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150528).

99060 is an abundant number, since it is smaller than the sum of its proper divisors (201996).

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

99060 is a wasteful number, since it uses less digits than its factorization.

99060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 99060 is about 314.7379862679. The cubic root of 99060 is about 46.2699937903.

The spelling of 99060 in words is "ninety-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1270 1524 1651 1905 2540 3302 3810 4953 6604 7620 8255 9906 16510 19812 24765 33020 49530 99060