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86832 = 243467
BaseRepresentation
bin10101001100110000
311102010000
4111030300
510234312
61510000
7511104
oct251460
9142100
1086832
115a269
1242300
13306a5
1423904
151aadc
hex15330

86832 has 50 divisors (see below), whose sum is σ = 255068. Its totient is φ = 28512.

The previous prime is 86813. The next prime is 86837. The reversal of 86832 is 23868.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 86796 and 86805.

It is not an unprimeable number, because it can be changed into a prime (86837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1263 + ... + 1329.

286832 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 86832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127534).

86832 is an abundant number, since it is smaller than the sum of its proper divisors (168236).

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

86832 is a wasteful number, since it uses less digits than its factorization.

86832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 86832 is about 294.6726997874. The cubic root of 86832 is about 44.2819361526.

It can be divided in two parts, 868 and 32, that added together give a square (900 = 302).

The spelling of 86832 in words is "eighty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 648 804 1072 1206 1296 1608 1809 2412 3216 3618 4824 5427 7236 9648 10854 14472 21708 28944 43416 86832