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1682660 = 2257217101
BaseRepresentation
bin110011010110011100100
310011111011202
412122303210
5412321120
6100022032
720205500
oct6326344
93144152
101682660
11a4a231
12691918
1346bb75
1431b300
15233875
hex19ace4

1682660 has 72 divisors (see below), whose sum is σ = 4395384. Its totient is φ = 537600.

The previous prime is 1682627. The next prime is 1682663. The reversal of 1682660 is 662861.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 879844 = 896^2 + 938^2 .

It is not an unprimeable number, because it can be changed into a prime (1682663) 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 23 ways as a sum of consecutive naturals, for example, 16610 + ... + 16710.

It is an arithmetic number, because the mean of its divisors is an integer number (61047).

21682660 is an apocalyptic number.

1682660 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 1682660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197692).

1682660 is an abundant number, since it is smaller than the sum of its proper divisors (2712724).

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

1682660 is a wasteful number, since it uses less digits than its factorization.

1682660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1682660 is about 1297.1738511086. The cubic root of 1682660 is about 118.9411473692.

The spelling of 1682660 in words is "one million, six hundred eighty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 101 119 140 170 196 202 238 245 340 404 476 490 505 595 707 833 980 1010 1190 1414 1666 1717 2020 2380 2828 3332 3434 3535 4165 4949 6868 7070 8330 8585 9898 12019 14140 16660 17170 19796 24038 24745 34340 48076 49490 60095 84133 98980 120190 168266 240380 336532 420665 841330 1682660