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2130579 = 321121521
BaseRepresentation
bin1000001000001010010011
311000020121100
420020022103
51021134304
6113355443
724052413
oct10101223
94006540
102130579
111225810
12868b83
135979c9
143d6643
152c1439
hex208293

2130579 has 12 divisors (see below), whose sum is σ = 3357432. Its totient is φ = 1291200.

The previous prime is 2130577. The next prime is 2130581. The reversal of 2130579 is 9750312.

It is an interprime number because it is at equal distance from previous prime (2130577) and next prime (2130581).

It is not a de Polignac number, because 2130579 - 21 = 2130577 is a prime.

It is a d-powerful number, because it can be written as 29 + 1 + 35 + 0 + 59 + 76 + 95 .

2130579 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2130577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10662 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (279786).

22130579 is an apocalyptic number.

2130579 is a deficient number, since it is larger than the sum of its proper divisors (1226853).

2130579 is a wasteful number, since it uses less digits than its factorization.

2130579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21538 (or 21535 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2130579 is about 1459.6503005857. The cubic root of 2130579 is about 128.6764924292.

The spelling of 2130579 in words is "two million, one hundred thirty thousand, five hundred seventy-nine".

Divisors: 1 3 9 11 33 99 21521 64563 193689 236731 710193 2130579