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1680288 = 25323761
BaseRepresentation
bin110011010001110100000
310011100220220
412122032200
5412232123
6100003040
720165541
oct6321640
93140826
101680288
11a48475
12690480
1346aa6c
1431a4c8
15232ce3
hex19a3a0

1680288 has 48 divisors (see below), whose sum is σ = 4608576. Its totient is φ = 535040.

The previous prime is 1680277. The next prime is 1680313. The reversal of 1680288 is 8820861.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1828 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (96012).

21680288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304288).

1680288 is an abundant number, since it is smaller than the sum of its proper divisors (2928288).

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

1680288 is a wasteful number, since it uses less digits than its factorization.

1680288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1680288 is about 1296.2592333326. The cubic root of 1680288 is about 118.8852317208.

The spelling of 1680288 in words is "one million, six hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 761 1104 1522 2208 2283 3044 4566 6088 9132 12176 17503 18264 24352 35006 36528 52509 70012 73056 105018 140024 210036 280048 420072 560096 840144 1680288