Search a number
-
+
86296 = 2372367
BaseRepresentation
bin10101000100011000
311101101011
4111010120
510230141
61503304
7506410
oct250430
9141334
1086296
1159921
1241b34
1330382
1423640
151a881
hex15118

86296 has 32 divisors (see below), whose sum is σ = 195840. Its totient is φ = 34848.

The previous prime is 86293. The next prime is 86297. The reversal of 86296 is 69268.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

286296 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 86296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

86296 is an abundant number, since it is smaller than the sum of its proper divisors (109544).

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

86296 is a wasteful number, since it uses less digits than its factorization.

86296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 86296 is about 293.7618082733. The cubic root of 86296 is about 44.1906329324.

The spelling of 86296 in words is "eighty-six thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 536 644 938 1288 1541 1876 3082 3752 6164 10787 12328 21574 43148 86296