Search a number
-
+
680865744 = 243137314947
BaseRepresentation
bin101000100101010…
…010111111010000
31202110011120012210
4220211102333100
52343300200434
6151321152120
722605156216
oct5045227720
91673146183
10680865744
1131a370569
1217002b640
13ab0a0050
14665d6cb6
153eb92ee9
hex28952fd0

680865744 has 80 divisors (see below), whose sum is σ = 1920279872. Its totient is φ = 206613504.

The previous prime is 680865743. The next prime is 680865761. The reversal of 680865744 is 447568086.

It is a super-2 number, since 2×6808657442 = 927156322705347072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 680865693 and 680865702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680865743) 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, 38079 + ... + 53025.

Almost surely, 2680865744 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 680865744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960139936).

680865744 is an abundant number, since it is smaller than the sum of its proper divisors (1239414128).

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

680865744 is a wasteful number, since it uses less digits than its factorization.

680865744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15044 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 680865744 is about 26093.4042240563. The cubic root of 680865744 is about 879.7389652766.

The spelling of 680865744 in words is "six hundred eighty million, eight hundred sixty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1752 1898 2847 3504 3796 5694 7592 11388 14947 15184 22776 29894 44841 45552 59788 89682 119576 179364 194311 239152 358728 388622 582933 717456 777244 1091131 1165866 1554488 2182262 2331732 3108976 3273393 4364524 4663464 6546786 8729048 9326928 13093572 14184703 17458096 26187144 28369406 42554109 52374288 56738812 85108218 113477624 170216436 226955248 340432872 680865744