Search a number
-
+
680654442 = 2313193712413
BaseRepresentation
bin101000100100011…
…111011001101010
31202102202211100210
4220210133121222
52343221420232
6151312441550
722603316166
oct5044373152
91672684323
10680654442
1131a236836
1216bb492b6
13ab027b10
146657dca6
153eb505cc
hex2891f66a

680654442 has 64 divisors (see below), whose sum is σ = 1585019520. Its totient is φ = 193031424.

The previous prime is 680654431. The next prime is 680654459. The reversal of 680654442 is 244456086.

680654442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 680654442.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48628 + ... + 61040.

It is an arithmetic number, because the mean of its divisors is an integer number (24765930).

Almost surely, 2680654442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680654442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792509760).

680654442 is an abundant number, since it is smaller than the sum of its proper divisors (904365078).

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

680654442 is a wasteful number, since it uses less digits than its factorization.

680654442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487.

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 680654442 is about 26089.3549556136. The cubic root of 680654442 is about 879.6479488817.

The spelling of 680654442 in words is "six hundred eighty million, six hundred fifty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 19 26 37 38 39 57 74 78 111 114 222 247 481 494 703 741 962 1406 1443 1482 2109 2886 4218 9139 12413 18278 24826 27417 37239 54834 74478 161369 235847 322738 459281 471694 484107 707541 918562 968214 1377843 1415082 2755686 3066011 5970653 6132022 8726339 9198033 11941306 17452678 17911959 18396066 26179017 35823918 52358034 113442407 226884814 340327221 680654442