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2135305 = 5617001
BaseRepresentation
bin1000001001010100001001
311000111002101
420021110021
51021312210
6113433401
724102244
oct10112411
94014071
102135305
111229317
1286b861
13599bc3
143d825b
152c2a3a
hex209509

2135305 has 8 divisors (see below), whose sum is σ = 2604744. Its totient is φ = 1680000.

The previous prime is 2135303. The next prime is 2135333. The reversal of 2135305 is 5035312.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 2134521 = 28^2 + 1461^2 .

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

It is not a de Polignac number, because 2135305 - 21 = 2135303 is a prime.

It is a Duffinian number.

2135305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2135303) 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 7 ways as a sum of consecutive naturals, for example, 3196 + ... + 3805.

It is an arithmetic number, because the mean of its divisors is an integer number (325593).

22135305 is an apocalyptic number.

It is an amenable number.

2135305 is a deficient number, since it is larger than the sum of its proper divisors (469439).

2135305 is an equidigital number, since it uses as much as digits as its factorization.

2135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 2135305 is about 1461.2682847445. The cubic root of 2135305 is about 128.7715645533.

The spelling of 2135305 in words is "two million, one hundred thirty-five thousand, three hundred five".

Divisors: 1 5 61 305 7001 35005 427061 2135305