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427086 = 23311719
BaseRepresentation
bin1101000010001001110
3210200212000
41220101032
5102131321
613053130
73426102
oct1502116
9720760
10427086
11271970
121871a6
1311c51a
14b1902
1586826
hex6844e

427086 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 129240.

The previous prime is 427081. The next prime is 427103. The reversal of 427086 is 680724.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427081) by changing a digit.

427086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2427086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

427086 is an abundant number, since it is smaller than the sum of its proper divisors (609714).

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

427086 is a wasteful number, since it uses less digits than its factorization.

427086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 427086 is about 653.5181711322. The cubic root of 427086 is about 75.3075372211.

It can be divided in two parts, 4270 and 86, that added together give a square (4356 = 662).

The spelling of 427086 in words is "four hundred twenty-seven thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 719 1438 2157 4314 6471 7909 12942 15818 19413 23727 38826 47454 71181 142362 213543 427086