Search a number
-
+
680946 = 23731523
BaseRepresentation
bin10100110001111110010
31021121002020
42212033302
5133242241
622332310
75534160
oct2461762
91247066
10680946
11425672
1228a096
131aac36
1413a230
15d6b66
hexa63f2

680946 has 32 divisors (see below), whose sum is σ = 1609728. Its totient is φ = 187920.

The previous prime is 680929. The next prime is 680959. The reversal of 680946 is 649086.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680946.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (50304).

2680946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804864).

680946 is an abundant number, since it is smaller than the sum of its proper divisors (928782).

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

680946 is a wasteful number, since it uses less digits than its factorization.

680946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 680946 is about 825.1945225218. The cubic root of 680946 is about 87.9773529877.

The spelling of 680946 in words is "six hundred eighty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 523 651 1046 1302 1569 3138 3661 7322 10983 16213 21966 32426 48639 97278 113491 226982 340473 680946