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1680696 = 233331251
BaseRepresentation
bin110011010010100111000
310011101111000
412122110320
5412240241
6100005000
720166663
oct6322470
93141430
101680696
11a48806
12690760
1346acc4
1431a6da
15232eb6
hex19a538

1680696 has 64 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 540000.

The previous prime is 1680689. The next prime is 1680697. The reversal of 1680696 is 6960861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1680696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6571 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

21680696 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 1680696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

1680696 is an abundant number, since it is smaller than the sum of its proper divisors (3157704).

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

1680696 is a wasteful number, since it uses less digits than its factorization.

1680696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1680696 is about 1296.4165997086. The cubic root of 1680696 is about 118.8948533351.

The spelling of 1680696 in words is "one million, six hundred eighty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 251 279 372 502 558 744 753 837 1004 1116 1506 1674 2008 2232 2259 3012 3348 4518 6024 6696 6777 7781 9036 13554 15562 18072 23343 27108 31124 46686 54216 62248 70029 93372 140058 186744 210087 280116 420174 560232 840348 1680696