Search a number
-
+
18273820 = 2251922531
BaseRepresentation
bin100010110110…
…1011000011100
31021101101222011
41011231120130
514134230240
61451401004
7311216305
oct105553034
937341864
1018273820
11a351434
126153164
133a2a816
1425d97ac
15190e6ea
hex116d61c

18273820 has 36 divisors (see below), whose sum is σ = 40517064. Its totient is φ = 6922080.

The previous prime is 18273809. The next prime is 18273833. The reversal of 18273820 is 2837281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5955 + ... + 8485.

It is an arithmetic number, because the mean of its divisors is an integer number (1125474).

Almost surely, 218273820 is an apocalyptic number.

18273820 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 18273820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258532).

18273820 is an abundant number, since it is smaller than the sum of its proper divisors (22243244).

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

18273820 is a wasteful number, since it uses less digits than its factorization.

18273820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 18273820 is about 4274.7888836760. The cubic root of 18273820 is about 263.3963672565.

The spelling of 18273820 in words is "eighteen million, two hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 2531 3610 5062 7220 10124 12655 25310 48089 50620 96178 192356 240445 480890 913691 961780 1827382 3654764 4568455 9136910 18273820