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96390 = 2345717
BaseRepresentation
bin10111100010000110
311220020000
4113202012
511041030
62022130
7551010
oct274206
9156200
1096390
1166468
1247946
1334b48
14271b0
151d860
hex17886

96390 has 80 divisors (see below), whose sum is σ = 313632. Its totient is φ = 20736.

The previous prime is 96377. The next prime is 96401. The reversal of 96390 is 9369.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5662 + ... + 5678.

296390 is an apocalyptic number.

96390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816).

96390 is an abundant number, since it is smaller than the sum of its proper divisors (217242).

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

96390 is a wasteful number, since it uses less digits than its factorization.

96390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 96390 is about 310.4673895919. The cubic root of 96390 is about 45.8504912803.

96390 divided by its sum of digits (27) gives a triangular number (3570 = T84).

The spelling of 96390 in words is "ninety-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 119 126 135 153 162 170 189 210 238 255 270 306 315 357 378 405 459 510 567 595 630 714 765 810 918 945 1071 1134 1190 1377 1530 1785 1890 2142 2295 2754 2835 3213 3570 4590 5355 5670 6426 6885 9639 10710 13770 16065 19278 32130 48195 96390