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98840 = 2357353
BaseRepresentation
bin11000001000011000
312000120202
4120020120
511130330
62041332
7561110
oct301030
9160522
1098840
1168295
1249248
1335cb1
1428040
151e445
hex18218

98840 has 32 divisors (see below), whose sum is σ = 254880. Its totient is φ = 33792.

The previous prime is 98837. The next prime is 98849. The reversal of 98840 is 4889.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98840.

It is not an unprimeable number, because it can be changed into a prime (98849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 104 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (7965).

298840 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 98840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127440).

98840 is an abundant number, since it is smaller than the sum of its proper divisors (156040).

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

98840 is a wasteful number, since it uses less digits than its factorization.

98840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 98840 is about 314.3882949475. The cubic root of 98840 is about 46.2357150917.

The spelling of 98840 in words is "ninety-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 353 706 1412 1765 2471 2824 3530 4942 7060 9884 12355 14120 19768 24710 49420 98840