[go: up one dir, main page]

Search a number
-
+
2040314535 = 33572159063
BaseRepresentation
bin111100110011100…
…1011101010100111
312021012012201101000
41321213023222213
513134310031120
6534243004343
7101363246610
oct17147135247
95235181330
102040314535
11957782566
1248b3696b3
1326692110c
14154d90c07
15be1c7990
hex799cbaa7

2040314535 has 32 divisors (see below), whose sum is σ = 4145402880. Its totient is φ = 932714784.

The previous prime is 2040314531. The next prime is 2040314539. The reversal of 2040314535 is 5354130402.

2040314535 is a `hidden beast` number, since 204 + 0 + 3 + 1 + 453 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2040314531) and next prime (2040314539).

It is not a de Polignac number, because 2040314535 - 22 = 2040314531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2040314499 and 2040314508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040314531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078587 + ... + 1080476.

It is an arithmetic number, because the mean of its divisors is an integer number (129543840).

Almost surely, 22040314535 is an apocalyptic number.

2040314535 is an abundant number, since it is smaller than the sum of its proper divisors (2105088345).

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

2040314535 is a wasteful number, since it uses less digits than its factorization.

2040314535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159084 (or 2159078 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2040314535 is about 45169.8409893150. The cubic root of 2040314535 is about 1268.3303197169.

Adding to 2040314535 its reverse (5354130402), we get a palindrome (7394444937).

The spelling of 2040314535 in words is "two billion, forty million, three hundred fourteen thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2159063 6477189 10795315 15113441 19431567 32385945 45340323 58294701 75567205 97157835 136020969 226701615 291473505 408062907 680104845 2040314535