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1682127 = 34191093
BaseRepresentation
bin110011010101011001111
310011110110000
412122223033
5412312002
6100015343
720204106
oct6325317
93143400
101682127
11a49897
12691553
1346b855
1431b03d
1523361c
hex19aacf

1682127 has 20 divisors (see below), whose sum is σ = 2647480. Its totient is φ = 1061424.

The previous prime is 1682123. The next prime is 1682143. The reversal of 1682127 is 7212861.

It is not a de Polignac number, because 1682127 - 22 = 1682123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1682127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682123) 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 19 ways as a sum of consecutive naturals, for example, 993 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (132374).

21682127 is an apocalyptic number.

1682127 is a deficient number, since it is larger than the sum of its proper divisors (965353).

1682127 is a wasteful number, since it uses less digits than its factorization.

1682127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1682127 is about 1296.9683882038. The cubic root of 1682127 is about 118.9285874291.

Adding to 1682127 its reverse (7212861), we get a palindrome (8894988).

The spelling of 1682127 in words is "one million, six hundred eighty-two thousand, one hundred twenty-seven".

Divisors: 1 3 9 19 27 57 81 171 513 1093 1539 3279 9837 20767 29511 62301 88533 186903 560709 1682127