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206544040 = 2359753233
BaseRepresentation
bin11000100111110…
…01110010101000
3112101122112011021
430103321302220
5410333402130
632254542224
75055411133
oct1423716250
9471575137
10206544040
11a665265a
1259207974
1333a38b11
141d60721a
15131ed37a
hexc4f9ca8

206544040 has 32 divisors (see below), whose sum is σ = 469523880. Its totient is φ = 81764352.

The previous prime is 206544029. The next prime is 206544043. The reversal of 206544040 is 40445602.

206544040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101727396 + 104816644 = 10086^2 + 10238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206543996 and 206544014.

It is not an unprimeable number, because it can be changed into a prime (206544043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22737 + ... + 30496.

Almost surely, 2206544040 is an apocalyptic number.

206544040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206544040 is an abundant number, since it is smaller than the sum of its proper divisors (262979840).

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

206544040 is a wasteful number, since it uses less digits than its factorization.

206544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53341 (or 53337 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 206544040 is about 14371.6401290876. The cubic root of 206544040 is about 591.1135152424.

Adding to 206544040 its reverse (40445602), we get a palindrome (246989642).

The spelling of 206544040 in words is "two hundred six million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 53233 106466 212932 266165 425864 532330 1064660 2129320 5163601 10327202 20654404 25818005 41308808 51636010 103272020 206544040