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1682000 = 2453292
BaseRepresentation
bin110011010101001010000
310011110021022
412122221100
5412311000
6100015012
720203535
oct6325120
93143238
101682000
11a49791
12691468
1346b788
1431ad8c
15233585
hex19aa50

1682000 has 60 divisors (see below), whose sum is σ = 4212156. Its totient is φ = 649600.

The previous prime is 1681991. The next prime is 1682017. The reversal of 1682000 is 2861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 506944 + 1175056 = 712^2 + 1084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1682000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57986 + ... + 58014.

21682000 is an apocalyptic number.

1682000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106078).

1682000 is an abundant number, since it is smaller than the sum of its proper divisors (2530156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1682000 is an equidigital number, since it uses as much as digits as its factorization.

1682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1682000 is about 1296.9194269499. The cubic root of 1682000 is about 118.9255943316.

Adding to 1682000 its reverse (2861), we get a palindrome (1684861).

The spelling of 1682000 in words is "one million, six hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 841 1000 1160 1450 1682 2000 2320 2900 3364 3625 4205 5800 6728 7250 8410 11600 13456 14500 16820 21025 29000 33640 42050 58000 67280 84100 105125 168200 210250 336400 420500 841000 1682000