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2120760529 = 101181116009
BaseRepresentation
bin111111001101000…
…0011110011010001
312110210120210112021
41332122003303101
513320403314104
6550235131441
7103361111206
oct17632036321
95423523467
102120760529
11999128858
124b22a3b81
1327a4a94b4
14161931cad
15c62b8754
hex7e683cd1

2120760529 has 8 divisors (see below), whose sum is σ = 2153609640. Its totient is φ = 2088144000.

The previous prime is 2120760491. The next prime is 2120760533. The reversal of 2120760529 is 9250670212.

It can be written as a sum of positive squares in 4 ways, for example, as 18079504 + 2102681025 = 4252^2 + 45855^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2120760529 - 29 = 2120760017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120760494 and 2120760503.

It is not an unprimeable number, because it can be changed into a prime (2120760589) 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, 39724 + ... + 76285.

It is an arithmetic number, because the mean of its divisors is an integer number (269201205).

Almost surely, 22120760529 is an apocalyptic number.

It is an amenable number.

2120760529 is a deficient number, since it is larger than the sum of its proper divisors (32849111).

2120760529 is a wasteful number, since it uses less digits than its factorization.

2120760529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116291.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 2120760529 is about 46051.7158095114. The cubic root of 2120760529 is about 1284.7852556407.

The spelling of 2120760529 in words is "two billion, one hundred twenty million, seven hundred sixty thousand, five hundred twenty-nine".

Divisors: 1 101 181 18281 116009 11716909 20997629 2120760529