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98696 = 2313273
BaseRepresentation
bin11000000110001000
312000101102
4120012020
511124241
62040532
7560513
oct300610
9160342
1098696
1168174
1249148
1335c00
1427d7a
151e39b
hex18188

98696 has 24 divisors (see below), whose sum is σ = 203130. Its totient is φ = 44928.

The previous prime is 98689. The next prime is 98711. The reversal of 98696 is 69689.

It can be written as a sum of positive squares in 3 ways, for example, as 52900 + 45796 = 230^2 + 214^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98696.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1316 + ... + 1388.

298696 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 98696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101565).

98696 is an abundant number, since it is smaller than the sum of its proper divisors (104434).

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

98696 is a wasteful number, since it uses less digits than its factorization.

98696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 98696 is about 314.1591953135. The cubic root of 98696 is about 46.2132505735.

The spelling of 98696 in words is "ninety-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 73 104 146 169 292 338 584 676 949 1352 1898 3796 7592 12337 24674 49348 98696