Search a number
-
+
18574072 = 2311832543
BaseRepresentation
bin100011011011…
…0101011111000
31021221122211121
41012312223320
514223332242
61502035024
7313606546
oct106665370
937848747
1018574072
11a536a80
126278a74
133b0439a
142676d96
15196d667
hex11b6af8

18574072 has 32 divisors (see below), whose sum is σ = 38465280. Its totient is φ = 8337760.

The previous prime is 18574067. The next prime is 18574079. The reversal of 18574072 is 27047581.

It is a happy number.

It is a super-2 number, since 2×185740722 = 689992301322368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18574079) 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, 6033 + ... + 8575.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 218574072 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 18574072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232640).

18574072 is an abundant number, since it is smaller than the sum of its proper divisors (19891208).

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

18574072 is a wasteful number, since it uses less digits than its factorization.

18574072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 18574072 is about 4309.7647267571. The cubic root of 18574072 is about 264.8311348525.

It can be divided in two parts, 1857 and 4072, that added together give a square (5929 = 772).

The spelling of 18574072 in words is "eighteen million, five hundred seventy-four thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 664 913 1826 2543 3652 5086 7304 10172 20344 27973 55946 111892 211069 223784 422138 844276 1688552 2321759 4643518 9287036 18574072