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258280 = 23511587
BaseRepresentation
bin111111000011101000
3111010021221
4333003220
531231110
65311424
72124001
oct770350
9433257
10258280
11167060
12105574
1390739
146a1a8
15517da
hex3f0e8

258280 has 32 divisors (see below), whose sum is σ = 635040. Its totient is φ = 93760.

The previous prime is 258277. The next prime is 258283. The reversal of 258280 is 82852.

It is an interprime number because it is at equal distance from previous prime (258277) and next prime (258283).

It is not an unprimeable number, because it can be changed into a prime (258283) 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, 147 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2258280 is an apocalyptic number.

258280 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 258280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

258280 is an abundant number, since it is smaller than the sum of its proper divisors (376760).

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

258280 is a wasteful number, since it uses less digits than its factorization.

258280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 258280 is about 508.2125539575. The cubic root of 258280 is about 63.6839890854.

Adding to 258280 its product of nonzero digits (1280), we get a triangular number (259560 = T720).

It can be divided in two parts, 2582 and 80, that added together give a palindrome (2662).

The spelling of 258280 in words is "two hundred fifty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 587 1174 2348 2935 4696 5870 6457 11740 12914 23480 25828 32285 51656 64570 129140 258280