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2184000040 = 235433126097
BaseRepresentation
bin1000001000101101…
…0011001000101000
312122012120200211101
42002023103020220
513433101000130
61000414411144
7105056460025
oct20213231050
95565520741
102184000040
11a208a1612
1250b500ab4
1328a61bb21
1416a0b454c
15cbb0b1ca
hex822d3228

2184000040 has 32 divisors (see below), whose sum is σ = 4925387880. Its totient is φ = 871575552.

The previous prime is 2184000017. The next prime is 2184000043. The reversal of 2184000040 is 400004812.

It can be written as a sum of positive squares in 4 ways, for example, as 1174158756 + 1009841284 = 34266^2 + 31778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2183999981 and 2184000017.

It is not an unprimeable number, because it can be changed into a prime (2184000043) 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 7 ways as a sum of consecutive naturals, for example, 45729 + ... + 80368.

Almost surely, 22184000040 is an apocalyptic number.

2184000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2184000040 is an abundant number, since it is smaller than the sum of its proper divisors (2741387840).

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

2184000040 is a wasteful number, since it uses less digits than its factorization.

2184000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126541 (or 126537 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2184000040 is about 46733.2862101522. The cubic root of 2184000040 is about 1297.4308312641.

Adding to 2184000040 its reverse (400004812), we get a palindrome (2584004852).

The spelling of 2184000040 in words is "two billion, one hundred eighty-four million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 433 866 1732 2165 3464 4330 8660 17320 126097 252194 504388 630485 1008776 1260970 2521940 5043880 54600001 109200002 218400004 273000005 436800008 546000010 1092000020 2184000040