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20040660 = 22325111337
BaseRepresentation
bin100110001110…
…0101111010100
31101201011121200
41030130233110
520112300120
61553312500
7332225403
oct114345724
941634550
1020040660
1110348932
126865730
1341c8aa3
14293963a
151b5ce90
hex131cbd4

20040660 has 36 divisors (see below), whose sum is σ = 60790548. Its totient is φ = 5344128.

The previous prime is 20040619. The next prime is 20040667. The reversal of 20040660 is 6604002.

20040660 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 0 + 660 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 12489156 = 2748^2 + 3534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55489 + ... + 55848.

Almost surely, 220040660 is an apocalyptic number.

20040660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040660 is an abundant number, since it is smaller than the sum of its proper divisors (40749888).

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

20040660 is a wasteful number, since it uses less digits than its factorization.

20040660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111352 (or 111347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20040660 is about 4476.6795730765. The cubic root of 20040660 is about 271.6255841791.

Adding to 20040660 its reverse (6604002), we get a palindrome (26644662).

The spelling of 20040660 in words is "twenty million, forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 111337 222674 334011 445348 556685 668022 1002033 1113370 1336044 1670055 2004066 2226740 3340110 4008132 5010165 6680220 10020330 20040660