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98320 = 2451229
BaseRepresentation
bin11000000000010000
311222212111
4120000100
511121240
62035104
7556435
oct300020
9158774
1098320
1167962
1248a94
13359a1
1427b8c
151e1ea
hex18010

98320 has 20 divisors (see below), whose sum is σ = 228780. Its totient is φ = 39296.

The previous prime is 98317. The next prime is 98321. The reversal of 98320 is 2389.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 24336 = 272^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 98291 and 98300.

It is not an unprimeable number, because it can be changed into a prime (98321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535 + ... + 694.

It is an arithmetic number, because the mean of its divisors is an integer number (11439).

298320 is an apocalyptic number.

It is an amenable number.

98320 is an abundant number, since it is smaller than the sum of its proper divisors (130460).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114390).

98320 is a wasteful number, since it uses less digits than its factorization.

98320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 98320 is about 313.5602015563. The cubic root of 98320 is about 46.1544900195.

The spelling of 98320 in words is "ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1229 2458 4916 6145 9832 12290 19664 24580 49160 98320