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1680720 = 243547149
BaseRepresentation
bin110011010010101010000
310011101111220
412122111100
5412240340
6100005040
720200026
oct6322520
93141456
101680720
11a48828
12690780
1346b012
1431a716
15232ed0
hex19a550

1680720 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 435712.

The previous prime is 1680709. The next prime is 1680743. The reversal of 1680720 is 270861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11206 + ... + 11354.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

21680720 is an apocalyptic number.

1680720 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 1680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

1680720 is an abundant number, since it is smaller than the sum of its proper divisors (3676080).

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

1680720 is a wasteful number, since it uses less digits than its factorization.

1680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1680720 is about 1296.4258559594. The cubic root of 1680720 is about 118.8954192639.

The spelling of 1680720 in words is "one million, six hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 149 188 235 240 282 298 376 447 470 564 596 705 745 752 894 940 1128 1192 1410 1490 1788 1880 2235 2256 2384 2820 2980 3576 3760 4470 5640 5960 7003 7152 8940 11280 11920 14006 17880 21009 28012 35015 35760 42018 56024 70030 84036 105045 112048 140060 168072 210090 280120 336144 420180 560240 840360 1680720