Search a number
-
+
18669060 = 22325176101
BaseRepresentation
bin100011100110…
…1111000000100
31022010111010200
41013031320010
514234402220
61504050500
7314453514
oct107157004
938114120
1018669060
11a5a1383
126303a30
133b386a7
14269d844
15198b890
hex11cde04

18669060 has 72 divisors (see below), whose sum is σ = 59970456. Its totient is φ = 4684800.

The previous prime is 18669047. The next prime is 18669061. The reversal of 18669060 is 6096681.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 13793796 = 2208^2 + 3714^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18669061) 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 23 ways as a sum of consecutive naturals, for example, 10 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (832923).

Almost surely, 218669060 is an apocalyptic number.

18669060 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 18669060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29985228).

18669060 is an abundant number, since it is smaller than the sum of its proper divisors (41301396).

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

18669060 is a wasteful number, since it uses less digits than its factorization.

18669060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 18669060 is about 4320.7707645743. The cubic root of 18669060 is about 265.2818171970.

The spelling of 18669060 in words is "eighteen million, six hundred sixty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6101 12202 18303 24404 30505 36606 54909 61010 73212 91515 103717 109818 122020 183030 207434 219636 274545 311151 366060 414868 518585 549090 622302 933453 1037170 1098180 1244604 1555755 1866906 2074340 3111510 3733812 4667265 6223020 9334530 18669060