Search a number
-
+
680520340 = 225196726729
BaseRepresentation
bin101000100011111…
…110101010010100
31202102112000102001
4220203332222110
52343203122330
6151305525044
722602220213
oct5043765224
91672460361
10680520340
1131a155005
1216baa3784
13aacaba76
146654707a
153eb259ca
hex288fea94

680520340 has 48 divisors (see below), whose sum is σ = 1526817600. Its totient is φ = 254022912.

The previous prime is 680520311. The next prime is 680520341. The reversal of 680520340 is 43025086.

680520340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 680520299 and 680520308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680520341) 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, 12096 + ... + 38824.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700).

Almost surely, 2680520340 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 680520340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763408800).

680520340 is an abundant number, since it is smaller than the sum of its proper divisors (846297260).

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

680520340 is a wasteful number, since it uses less digits than its factorization.

680520340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26824 (or 26822 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 680520340 is about 26086.7847769709. The cubic root of 680520340 is about 879.5901759063.

The spelling of 680520340 in words is "six hundred eighty million, five hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 5092 6365 12730 25460 26729 53458 106916 133645 267290 507851 534580 1015702 1790843 2031404 2539255 3581686 5078510 7163372 8954215 10157020 17908430 34026017 35816860 68052034 136104068 170130085 340260170 680520340