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1682664 = 23370111
BaseRepresentation
bin110011010110011101000
310011111011220
412122303220
5412321124
6100022040
720205504
oct6326350
93144156
101682664
11a4a235
12691920
1346bb79
1431b304
15233879
hex19ace8

1682664 has 16 divisors (see below), whose sum is σ = 4206720. Its totient is φ = 560880.

The previous prime is 1682663. The next prime is 1682669. The reversal of 1682664 is 4662861.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 35032 + ... + 35079.

It is an arithmetic number, because the mean of its divisors is an integer number (262920).

21682664 is an apocalyptic number.

It is an amenable number.

1682664 is an abundant number, since it is smaller than the sum of its proper divisors (2524056).

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

1682664 is a wasteful number, since it uses less digits than its factorization.

1682664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70120 (or 70116 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 1682664 is about 1297.1753929211. The cubic root of 1682664 is about 118.9412416177.

It can be divided in two parts, 1682 and 664, that added together give a triangular number (2346 = T68).

The spelling of 1682664 in words is "one million, six hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 70111 140222 210333 280444 420666 560888 841332 1682664