Search a number
-
+
18258540 = 22351132693
BaseRepresentation
bin100010110100…
…1101001101100
31021100122000020
41011221221230
514133233130
61451202140
7311123616
oct105515154
937318006
1018258540
11a340a03
126146350
133a23891
1425d3db6
151909e10
hex1169a6c

18258540 has 48 divisors (see below), whose sum is σ = 51595488. Its totient is φ = 4824064.

The previous prime is 18258517. The next prime is 18258547. The reversal of 18258540 is 4585281.

It is not an unprimeable number, because it can be changed into a prime (18258547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5434 + ... + 8126.

It is an arithmetic number, because the mean of its divisors is an integer number (1074906).

Almost surely, 218258540 is an apocalyptic number.

18258540 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 18258540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25797744).

18258540 is an abundant number, since it is smaller than the sum of its proper divisors (33336948).

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

18258540 is a wasteful number, since it uses less digits than its factorization.

18258540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 18258540 is about 4273.0012871517. The cubic root of 18258540 is about 263.3229321676.

The spelling of 18258540 in words is "eighteen million, two hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 2693 3390 5386 6780 8079 10772 13465 16158 26930 32316 40395 53860 80790 161580 304309 608618 912927 1217236 1521545 1825854 3043090 3651708 4564635 6086180 9129270 18258540