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2040261135 = 3511193172053
BaseRepresentation
bin111100110011011…
…1110101000001111
312021012010000010020
41321212332220033
513134301324020
6534241513223
7101362635123
oct17146765017
95235100106
102040261135
11957746430
1248b342813
13266902a13
14154d79583
15be1b6c40
hex799bea0f

2040261135 has 64 divisors (see below), whose sum is σ = 3762270720. Its totient is φ = 933742080.

The previous prime is 2040261121. The next prime is 2040261149. The reversal of 2040261135 is 5311620402.

It is an interprime number because it is at equal distance from previous prime (2040261121) and next prime (2040261149).

It is not a de Polignac number, because 2040261135 - 26 = 2040261071 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 992769 + ... + 994821.

It is an arithmetic number, because the mean of its divisors is an integer number (58785480).

Almost surely, 22040261135 is an apocalyptic number.

2040261135 is a deficient number, since it is larger than the sum of its proper divisors (1722009585).

2040261135 is a wasteful number, since it uses less digits than its factorization.

2040261135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2040261135 is about 45169.2498830786. The cubic root of 2040261135 is about 1268.3192545226.

Adding to 2040261135 its reverse (5311620402), we get a palindrome (7351881537).

It can be divided in two parts, 2040 and 261135, that added together give a triangular number (263175 = T725).

The spelling of 2040261135 in words is "two billion, forty million, two hundred sixty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 317 627 951 1045 1585 2053 3135 3487 4755 6023 6159 10265 10461 17435 18069 22583 30115 30795 39007 52305 66253 67749 90345 112915 117021 195035 198759 331265 338745 429077 585105 650801 993795 1287231 1952403 2145385 3254005 6436155 7158811 9762015 12365219 21476433 35794055 37095657 61826095 107382165 136017409 185478285 408052227 680087045 2040261135