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726820668 = 223373131013
BaseRepresentation
bin101011010100100…
…110011100111100
31212122122022112000
4223110212130330
52442031230133
6200042142300
724003605460
oct5324463474
91778568460
10726820668
113432a9142
121834b1990
13b7770202
146c75a4a0
1543c1e413
hex2b52673c

726820668 has 96 divisors (see below), whose sum is σ = 2223083520. Its totient is φ = 200957760.

The previous prime is 726820663. The next prime is 726820687. The reversal of 726820668 is 866028627.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726820663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7930 + ... + 38942.

It is an arithmetic number, because the mean of its divisors is an integer number (23157120).

Almost surely, 2726820668 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 726820668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111541760).

726820668 is an abundant number, since it is smaller than the sum of its proper divisors (1496262852).

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

726820668 is a wasteful number, since it uses less digits than its factorization.

726820668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31064 (or 31056 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 726820668 is about 26959.6117924572. The cubic root of 726820668 is about 899.1022603684.

The spelling of 726820668 in words is "seven hundred twenty-six million, eight hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 11718 23436 31013 62026 93039 124052 186078 217091 279117 372156 434182 558234 651273 837351 868364 961403 1116468 1302546 1674702 1922806 1953819 2605092 2884209 3349404 3845612 3907638 5768418 5861457 6729821 7815276 8652627 11536836 11722914 13459642 17305254 20189463 23445828 25957881 26919284 34610508 40378926 51915762 60568389 80757852 103831524 121136778 181705167 242273556 363410334 726820668