Search a number
-
+
18142540 = 2251369779
BaseRepresentation
bin100010100110…
…1010101001100
31021010201212221
41011031111030
514121030130
61444505124
7310131463
oct105152514
937121787
1018142540
11a271839
1260ab1a4
1339b2b40
1425a39da
1518d587a
hex114d54c

18142540 has 24 divisors (see below), whose sum is σ = 41030640. Its totient is φ = 6698688.

The previous prime is 18142513. The next prime is 18142567. The reversal of 18142540 is 4524181.

18142540 = T945 + T946 + ... + T983.

It is an interprime number because it is at equal distance from previous prime (18142513) and next prime (18142567).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34630 + ... + 35149.

It is an arithmetic number, because the mean of its divisors is an integer number (1709610).

Almost surely, 218142540 is an apocalyptic number.

18142540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18142540 is an abundant number, since it is smaller than the sum of its proper divisors (22888100).

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

18142540 is a wasteful number, since it uses less digits than its factorization.

18142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69801 (or 69799 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 18142540 is about 4259.4060618823. The cubic root of 18142540 is about 262.7641000363.

The spelling of 18142540 in words is "eighteen million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 69779 139558 279116 348895 697790 907127 1395580 1814254 3628508 4535635 9071270 18142540