Search a number
-
+
18145072 = 2411131787
BaseRepresentation
bin100010100110…
…1111100110000
31021010212100201
41011031330300
514121120242
61444524544
7310142041
oct105157460
937125321
1018145072
11a273730
1260b0754
1339b403a
1425a48c8
1518d64b7
hex114df30

18145072 has 40 divisors (see below), whose sum is σ = 38693952. Its totient is φ = 8174400.

The previous prime is 18145067. The next prime is 18145073. The reversal of 18145072 is 27054181.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18145072.

It is not an unprimeable number, because it can be changed into a prime (18145073) 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, 22663 + ... + 23449.

Almost surely, 218145072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346976).

18145072 is an abundant number, since it is smaller than the sum of its proper divisors (20548880).

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

18145072 is a wasteful number, since it uses less digits than its factorization.

18145072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 18145072 is about 4259.7032760510. The cubic root of 18145072 is about 262.7763233845.

It can be divided in two parts, 1814 and 5072, that added together give a palindrome (6886).

The spelling of 18145072 in words is "eighteen million, one hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 787 1048 1441 1574 2096 2882 3148 5764 6296 8657 11528 12592 17314 23056 34628 69256 103097 138512 206194 412388 824776 1134067 1649552 2268134 4536268 9072536 18145072