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86432 = 253773
BaseRepresentation
bin10101000110100000
311101120012
4111012200
510231212
61504052
7506663
oct250640
9141505
1086432
1159a35
1242028
1330458
14236da
151a922
hex151a0

86432 has 24 divisors (see below), whose sum is σ = 177156. Its totient is φ = 41472.

The previous prime is 86423. The next prime is 86441. The reversal of 86432 is 23468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86423) and next prime (86441).

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 5776 = 284^2 + 76^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86398 and 86407.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1148 + ... + 1220.

286432 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 86432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88578).

86432 is an abundant number, since it is smaller than the sum of its proper divisors (90724).

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

86432 is a wasteful number, since it uses less digits than its factorization.

86432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 86432 is about 293.9931972002. The cubic root of 86432 is about 44.2138351345.

The spelling of 86432 in words is "eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 21608 43216 86432