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1680380 = 2251323281
BaseRepresentation
bin110011010001111111100
310011101001022
412122033330
5412233010
6100003312
720166032
oct6321774
93141038
101680380
11a48549
12690538
1346ab10
1431a552
15232d55
hex19a3fc

1680380 has 48 divisors (see below), whose sum is σ = 3979584. Its totient is φ = 591360.

The previous prime is 1680377. The next prime is 1680401. The reversal of 1680380 is 830861.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 1 + 68 + 8 + 0 + 35 + 83 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5840 + ... + 6120.

It is an arithmetic number, because the mean of its divisors is an integer number (82908).

21680380 is an apocalyptic number.

1680380 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 1680380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989792).

1680380 is an abundant number, since it is smaller than the sum of its proper divisors (2299204).

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

1680380 is a wasteful number, since it uses less digits than its factorization.

1680380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1680380 is about 1296.2947195758. The cubic root of 1680380 is about 118.8874014365.

The spelling of 1680380 in words is "one million, six hundred eighty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 281 299 460 562 598 1124 1196 1405 1495 2810 2990 3653 5620 5980 6463 7306 12926 14612 18265 25852 32315 36530 64630 73060 84019 129260 168038 336076 420095 840190 1680380