Search a number
-
+
18639060 = 22351131911
BaseRepresentation
bin100011100011…
…0100011010100
31022001221222120
41013012203110
514232422220
61503255540
7314300166
oct107064324
938057876
1018639060
11a580890
1262aa5b0
133b27b3b
142692936
151982a40
hex11c68d4

18639060 has 96 divisors (see below), whose sum is σ = 58834944. Its totient is φ = 4368000.

The previous prime is 18639059. The next prime is 18639067. The reversal of 18639060 is 6093681.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18639067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20005 + ... + 20915.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 218639060 is an apocalyptic number.

18639060 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 18639060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417472).

18639060 is an abundant number, since it is smaller than the sum of its proper divisors (40195884).

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

18639060 is a wasteful number, since it uses less digits than its factorization.

18639060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 18639060 is about 4317.2977659643. The cubic root of 18639060 is about 265.1396439750.

The spelling of 18639060 in words is "eighteen million, six hundred thirty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 911 930 1023 1364 1705 1822 1860 2046 2733 3410 3644 4092 4555 5115 5466 6820 9110 10021 10230 10932 13665 18220 20042 20460 27330 28241 30063 40084 50105 54660 56482 60126 84723 100210 112964 120252 141205 150315 169446 200420 282410 300630 310651 338892 423615 564820 601260 621302 847230 931953 1242604 1553255 1694460 1863906 3106510 3727812 4659765 6213020 9319530 18639060