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98868 = 223711107
BaseRepresentation
bin11000001000110100
312000121210
4120020310
511130433
62041420
7561150
oct301064
9160553
1098868
1168310
1249270
1336003
1428060
151e463
hex18234

98868 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 25440.

The previous prime is 98867. The next prime is 98869. The reversal of 98868 is 86889.

It is an interprime number because it is at equal distance from previous prime (98867) and next prime (98869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

298868 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 98868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

98868 is an abundant number, since it is smaller than the sum of its proper divisors (191436).

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

98868 is a wasteful number, since it uses less digits than its factorization.

98868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 98868 is about 314.4328227142. The cubic root of 98868 is about 46.2400806582.

The spelling of 98868 in words is "ninety-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 132 154 214 231 308 321 428 462 642 749 924 1177 1284 1498 2247 2354 2996 3531 4494 4708 7062 8239 8988 14124 16478 24717 32956 49434 98868