Search a number
-
+
1680328 = 2313107151
BaseRepresentation
bin110011010001111001000
310011100222101
412122033020
5412232303
6100003144
720165626
oct6321710
93140871
101680328
11a48501
126904b4
1346aaa0
1431a516
15232d1d
hex19a3c8

1680328 has 32 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 763200.

The previous prime is 1680323. The next prime is 1680359. The reversal of 1680328 is 8230861.

It is a junction number, because it is equal to n+sod(n) for n = 1680296 and 1680305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11053 + ... + 11203.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

21680328 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 1680328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1680328 is an abundant number, since it is smaller than the sum of its proper divisors (1767032).

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

1680328 is a wasteful number, since it uses less digits than its factorization.

1680328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1680328 is about 1296.2746622533. The cubic root of 1680328 is about 118.8861750852.

The spelling of 1680328 in words is "one million, six hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 107 151 214 302 428 604 856 1208 1391 1963 2782 3926 5564 7852 11128 15704 16157 32314 64628 129256 210041 420082 840164 1680328