Search a number
-
+
86800 = 2452731
BaseRepresentation
bin10101001100010000
311102001211
4111030100
510234200
61505504
7511030
oct251420
9142054
1086800
115a23a
1242294
133067c
14238c0
151aaba
hex15310

86800 has 60 divisors (see below), whose sum is σ = 246016. Its totient is φ = 28800.

The previous prime is 86783. The next prime is 86813. The reversal of 86800 is 868.

Multipling 86800 by its reverse (868), we get a square (75342400 = 86802).

86800 divided by its reverse (868) gives a square (100 = 102).

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, 2785 + ... + 2815.

286800 is an apocalyptic number.

86800 is a gapful number since it is divisible by the number (80) 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 86800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123008).

86800 is an abundant number, since it is smaller than the sum of its proper divisors (159216).

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

86800 is a wasteful number, since it uses less digits than its factorization.

86800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 86800 is about 294.6183972531. The cubic root of 86800 is about 44.2764957771.

The spelling of 86800 in words is "eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 5425 6200 8680 10850 12400 17360 21700 43400 86800