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96840 = 23325269
BaseRepresentation
bin10111101001001000
311220211200
4113221020
511044330
62024200
7552222
oct275110
9156750
1096840
1166837
1248060
1335103
1427412
151da60
hex17a48

96840 has 48 divisors (see below), whose sum is σ = 315900. Its totient is φ = 25728.

The previous prime is 96827. The next prime is 96847. The reversal of 96840 is 4869.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 10404 = 294^2 + 102^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226 + ... + 494.

296840 is an apocalyptic number.

96840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96840 is the 180-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157950).

96840 is an abundant number, since it is smaller than the sum of its proper divisors (219060).

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

96840 is a wasteful number, since it uses less digits than its factorization.

96840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 96840 is about 311.1912595174. The cubic root of 96840 is about 45.9217320588.

The spelling of 96840 in words is "ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 8070 9684 10760 12105 16140 19368 24210 32280 48420 96840