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96200 = 23521337
BaseRepresentation
bin10111011111001000
311212221222
4113133020
511034300
62021212
7550316
oct273710
9155858
1096200
1166305
1247808
1334a30
14270b6
151d785
hex177c8

96200 has 48 divisors (see below), whose sum is σ = 247380. Its totient is φ = 34560.

The previous prime is 96199. The next prime is 96211. The reversal of 96200 is 269.

It can be written as a sum of positive squares in 6 ways, for example, as 37636 + 58564 = 194^2 + 242^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2582 + ... + 2618.

296200 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 96200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690).

96200 is an abundant number, since it is smaller than the sum of its proper divisors (151180).

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

96200 is a wasteful number, since it uses less digits than its factorization.

96200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 96200 is about 310.1612483854. The cubic root of 96200 is about 45.8203452638.

Adding to 96200 its reverse (269), we get a palindrome (96469).

The spelling of 96200 in words is "ninety-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 130 148 185 200 260 296 325 370 481 520 650 740 925 962 1300 1480 1850 1924 2405 2600 3700 3848 4810 7400 9620 12025 19240 24050 48100 96200