Search a number
-
+
20135783540 = 2254057248161
BaseRepresentation
bin10010110000001011…
…111010110001110100
31220222022000210020202
4102300023322301310
5312214230033130
613130015420032
71311661223165
oct226013726164
956868023222
1020135783540
1185a3141224
123a9b524618
131b8b869a22
14d9034d76c
157ccb3d145
hex4b02fac74

20135783540 has 24 divisors (see below), whose sum is σ = 42295738632. Its totient is φ = 8052295680.

The previous prime is 20135783537. The next prime is 20135783543. The reversal of 20135783540 is 4538753102.

It is an interprime number because it is at equal distance from previous prime (20135783537) and next prime (20135783543).

It can be written as a sum of positive squares in 4 ways, for example, as 6573317776 + 13562465764 = 81076^2 + 116458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20135783494 and 20135783503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135783543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42941 + ... + 205220.

It is an arithmetic number, because the mean of its divisors is an integer number (1762322443).

Almost surely, 220135783540 is an apocalyptic number.

20135783540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20135783540 is an abundant number, since it is smaller than the sum of its proper divisors (22159955092).

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

20135783540 is a wasteful number, since it uses less digits than its factorization.

20135783540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252227 (or 252225 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 20135783540 in words is "twenty billion, one hundred thirty-five million, seven hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 4057 8114 16228 20285 40570 81140 248161 496322 992644 1240805 2481610 4963220 1006789177 2013578354 4027156708 5033945885 10067891770 20135783540