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1680365 = 51753373
BaseRepresentation
bin110011010001111101101
310011101000202
412122033231
5412232430
6100003245
720166011
oct6321755
93141022
101680365
11a48535
12690525
1346aacb
1431a541
15232d45
hex19a3ed

1680365 has 16 divisors (see below), whose sum is σ = 2181168. Its totient is φ = 1238016.

The previous prime is 1680361. The next prime is 1680373. The reversal of 1680365 is 5630861.

It can be written as a sum of positive squares in 8 ways, for example, as 75076 + 1605289 = 274^2 + 1267^2 .

It is a cyclic number.

It is not a de Polignac number, because 1680365 - 22 = 1680361 is a prime.

It is a d-powerful number, because it can be written as 1 + 6 + 8 + 0 + 36 + 68 + 5 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680361) 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 15 ways as a sum of consecutive naturals, for example, 4319 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (136323).

21680365 is an apocalyptic number.

It is an amenable number.

1680365 is a deficient number, since it is larger than the sum of its proper divisors (500803).

1680365 is a wasteful number, since it uses less digits than its factorization.

1680365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1680365 is about 1296.2889338415. The cubic root of 1680365 is about 118.8870476839.

The spelling of 1680365 in words is "one million, six hundred eighty thousand, three hundred sixty-five".

Divisors: 1 5 17 53 85 265 373 901 1865 4505 6341 19769 31705 98845 336073 1680365