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2001657 = 3795317
BaseRepresentation
bin111101000101011111001
310202200202110
413220223321
51003023112
6110522533
723004510
oct7505371
93680673
102001657
111147969
12806449
13551118
143a1677
1529813c
hex1e8af9

2001657 has 8 divisors (see below), whose sum is σ = 3050176. Its totient is φ = 1143792.

The previous prime is 2001653. The next prime is 2001673. The reversal of 2001657 is 7561002.

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

It is not a de Polignac number, because 2001657 - 22 = 2001653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 95317 = 2001657 / (2 + 0 + 0 + 1 + 6 + 5 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47638 + ... + 47679.

It is an arithmetic number, because the mean of its divisors is an integer number (381272).

22001657 is an apocalyptic number.

It is an amenable number.

2001657 is a deficient number, since it is larger than the sum of its proper divisors (1048519).

2001657 is an equidigital number, since it uses as much as digits as its factorization.

2001657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95327.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2001657 is about 1414.7992790499. The cubic root of 2001657 is about 126.0268902044.

Adding to 2001657 its reverse (7561002), we get a palindrome (9562659).

The spelling of 2001657 in words is "two million, one thousand, six hundred fifty-seven".

Divisors: 1 3 7 21 95317 285951 667219 2001657