Search a number
-
+
86260 = 22519227
BaseRepresentation
bin10101000011110100
311101022211
4111003310
510230020
61503204
7506326
oct250364
9141284
1086260
1159899
1241b04
1330355
1423616
151a85a
hex150f4

86260 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 32544.

The previous prime is 86257. The next prime is 86263. The reversal of 86260 is 6268.

86260 = T24 + T25 + ... + T80.

It is an interprime number because it is at equal distance from previous prime (86257) and next prime (86263).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86263) 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, 267 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

286260 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 86260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

86260 is an abundant number, since it is smaller than the sum of its proper divisors (105260).

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

86260 is a wasteful number, since it uses less digits than its factorization.

86260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 86260 is about 293.7005277489. The cubic root of 86260 is about 44.1844870931.

The spelling of 86260 in words is "eighty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 380 454 908 1135 2270 4313 4540 8626 17252 21565 43130 86260