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1680217 = 71121821
BaseRepresentation
bin110011010001101011001
310011100211021
412122031121
5412231332
6100002441
720165410
oct6321531
93140737
101680217
11a48410
12690421
1346aa16
1431a477
15232c97
hex19a359

1680217 has 8 divisors (see below), whose sum is σ = 2094912. Its totient is φ = 1309200.

The previous prime is 1680191. The next prime is 1680247. The reversal of 1680217 is 7120861.

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 1680217 - 27 = 1680089 is a prime.

It is a Duffinian number.

1680217 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1680191 and 1680200.

It is not an unprimeable number, because it can be changed into a prime (1680247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10834 + ... + 10987.

It is an arithmetic number, because the mean of its divisors is an integer number (261864).

21680217 is an apocalyptic number.

It is an amenable number.

1680217 is a deficient number, since it is larger than the sum of its proper divisors (414695).

1680217 is a wasteful number, since it uses less digits than its factorization.

1680217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21839.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1680217 is about 1296.2318465460. The cubic root of 1680217 is about 118.8835572121.

The spelling of 1680217 in words is "one million, six hundred eighty thousand, two hundred seventeen".

Divisors: 1 7 11 77 21821 152747 240031 1680217