Search a number
-
+
18288260 = 22517192149
BaseRepresentation
bin100010111000…
…0111010000100
31021102010202222
41011300322010
514140211020
61451551512
7311306354
oct105607204
937363688
1018288260
11a361271
12615b598
133a34273
142600b64
151913b25
hex1170e84

18288260 has 72 divisors (see below), whose sum is σ = 43205400. Its totient is φ = 6478848.

The previous prime is 18288247. The next prime is 18288269. The reversal of 18288260 is 6288281.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 17156164 = 1064^2 + 4142^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18288260.

It is not an unprimeable number, because it can be changed into a prime (18288269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122666 + ... + 122814.

It is an arithmetic number, because the mean of its divisors is an integer number (600075).

Almost surely, 218288260 is an apocalyptic number.

18288260 is a gapful number since it is divisible by the number (10) 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 18288260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21602700).

18288260 is an abundant number, since it is smaller than the sum of its proper divisors (24917140).

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

18288260 is a wasteful number, since it uses less digits than its factorization.

18288260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 18288260 is about 4276.4775224477. The cubic root of 18288260 is about 263.4657277251.

The spelling of 18288260 in words is "eighteen million, two hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 149 170 190 298 323 340 361 380 596 646 722 745 1292 1444 1490 1615 1805 2533 2831 2980 3230 3610 5066 5662 6137 6460 7220 10132 11324 12274 12665 14155 24548 25330 28310 30685 48127 50660 53789 56620 61370 96254 107578 122740 192508 215156 240635 268945 481270 537890 914413 962540 1075780 1828826 3657652 4572065 9144130 18288260