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98980 = 22572101
BaseRepresentation
bin11000001010100100
312000202221
4120022210
511131410
62042124
7561400
oct301244
9160687
1098980
1168402
1249344
133608b
1428100
151e4da
hex182a4

98980 has 36 divisors (see below), whose sum is σ = 244188. Its totient is φ = 33600.

The previous prime is 98963. The next prime is 98981. The reversal of 98980 is 8989.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 28224 = 266^2 + 168^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (6783).

298980 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 98980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122094).

98980 is an abundant number, since it is smaller than the sum of its proper divisors (145208).

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

98980 is a wasteful number, since it uses less digits than its factorization.

98980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 98980 is about 314.6108707594. The cubic root of 98980 is about 46.2575346867.

The spelling of 98980 in words is "ninety-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 14140 19796 24745 49490 98980