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84150 = 232521117
BaseRepresentation
bin10100100010110110
311021102200
4110202312
510143100
61445330
7500223
oct244266
9137380
1084150
1158250
1240846
132c3c1
142294a
1519e00
hex148b6

84150 has 72 divisors (see below), whose sum is σ = 261144. Its totient is φ = 19200.

The previous prime is 84143. The next prime is 84163. The reversal of 84150 is 5148.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4942 + ... + 4958.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

284150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572).

84150 is an abundant number, since it is smaller than the sum of its proper divisors (176994).

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

84150 is a wasteful number, since it uses less digits than its factorization.

84150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 84150 is about 290.0861940872. The cubic root of 84150 is about 43.8212444636.

Adding to 84150 its reverse (5148), we get a palindrome (89298).

The spelling of 84150 in words is "eighty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 25 30 33 34 45 50 51 55 66 75 85 90 99 102 110 150 153 165 170 187 198 225 255 275 306 330 374 425 450 495 510 550 561 765 825 850 935 990 1122 1275 1530 1650 1683 1870 2475 2550 2805 3366 3825 4675 4950 5610 7650 8415 9350 14025 16830 28050 42075 84150