Search a number
-
+
258660 = 22335479
BaseRepresentation
bin111111001001100100
3111010211000
4333021210
531234120
65313300
72125053
oct771144
9433730
10258660
11167376
12105830
139096c
146a39a
1551990
hex3f264

258660 has 48 divisors (see below), whose sum is σ = 806400. Its totient is φ = 68832.

The previous prime is 258659. The next prime is 258673. The reversal of 258660 is 66852.

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

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258660.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2258660 is an apocalyptic number.

258660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

258660 is an abundant number, since it is smaller than the sum of its proper divisors (547740).

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

258660 is a wasteful number, since it uses less digits than its factorization.

258660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 258660 is about 508.5862758667. The cubic root of 258660 is about 63.7152059267.

The spelling of 258660 in words is "two hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 479 540 958 1437 1916 2395 2874 4311 4790 5748 7185 8622 9580 12933 14370 17244 21555 25866 28740 43110 51732 64665 86220 129330 258660