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96300 = 223252107
BaseRepresentation
bin10111100000101100
311220002200
4113200230
511040200
62021500
7550521
oct274054
9156080
1096300
1166396
1247890
1334aa9
1427148
151d800
hex1782c

96300 has 54 divisors (see below), whose sum is σ = 304668. Its totient is φ = 25440.

The previous prime is 96293. The next prime is 96323. The reversal of 96300 is 369.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 847 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (5642).

296300 is an apocalyptic number.

96300 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334).

96300 is an abundant number, since it is smaller than the sum of its proper divisors (208368).

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

96300 is a wasteful number, since it uses less digits than its factorization.

96300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 96300 is about 310.3224129837. The cubic root of 96300 is about 45.8362165312.

Adding to 96300 its reverse (369), we get a palindrome (96669).

The spelling of 96300 in words is "ninety-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 1070 1284 1605 1926 2140 2675 3210 3852 4815 5350 6420 8025 9630 10700 16050 19260 24075 32100 48150 96300