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2164357 = 13295741
BaseRepresentation
bin1000010000011010000101
311001221221101
420100122011
51023224412
6114220101
724253036
oct10203205
94057841
102164357
111249128
12884631
135aa1b0
14404a8d
152cb457
hex210685

2164357 has 8 divisors (see below), whose sum is σ = 2411640. Its totient is φ = 1928640.

The previous prime is 2164313. The next prime is 2164367. The reversal of 2164357 is 7534612.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 2070721 = 306^2 + 1439^2 .

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 2164357 - 27 = 2164229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164307) 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, 2494 + ... + 3247.

It is an arithmetic number, because the mean of its divisors is an integer number (301455).

22164357 is an apocalyptic number.

It is an amenable number.

2164357 is a deficient number, since it is larger than the sum of its proper divisors (247283).

2164357 is a wasteful number, since it uses less digits than its factorization.

2164357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783.

The product of its digits is 5040, while the sum is 28.

The square root of 2164357 is about 1471.1753804357. The cubic root of 2164357 is about 129.3529385084.

Adding to 2164357 its reverse (7534612), we get a palindrome (9698969).

The spelling of 2164357 in words is "two million, one hundred sixty-four thousand, three hundred fifty-seven".

Divisors: 1 13 29 377 5741 74633 166489 2164357