Search a number
-
+
18638040 = 2335155317
BaseRepresentation
bin100011100011…
…0010011011000
31022001220120210
41013012103120
514232404130
61503251120
7314264211
oct107062330
938056523
1018638040
11a580043
1262a9aa0
133b27535
142692408
1519825b0
hex11c64d8

18638040 has 32 divisors (see below), whose sum is σ = 55914480. Its totient is φ = 4970112.

The previous prime is 18638029. The next prime is 18638063. The reversal of 18638040 is 4083681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18637989 and 18638007.

It is a congruent number.

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, 77539 + ... + 77778.

Almost surely, 218638040 is an apocalyptic number.

18638040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18638040 is an abundant number, since it is smaller than the sum of its proper divisors (37276440).

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

18638040 is a wasteful number, since it uses less digits than its factorization.

18638040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155331 (or 155327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18638040 is about 4317.1796349005. The cubic root of 18638040 is about 265.1348074047.

It can be divided in two parts, 186 and 38040, that added together give a triangular number (38226 = T276).

The spelling of 18638040 in words is "eighteen million, six hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 155317 310634 465951 621268 776585 931902 1242536 1553170 1863804 2329755 3106340 3727608 4659510 6212680 9319020 18638040