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680295744 = 26323121229
BaseRepresentation
bin101000100011000…
…111110101000000
31202102002121022200
4220203013311000
52343123430434
6151301033200
722600263342
oct5043076500
91672077280
10680295744
1131a011297
1216b9b5800
13aac3077b
14664c9292
153eace199
hex288c7d40

680295744 has 126 divisors (see below), whose sum is σ = 2016514890. Its totient is φ = 219271680.

The previous prime is 680295743. The next prime is 680295767. The reversal of 680295744 is 447592086.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 678081600 + 2214144 = 26040^2 + 1488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 680295744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680295743) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 552922 + ... + 554150.

Almost surely, 2680295744 is an apocalyptic number.

680295744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680295744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008257445).

680295744 is an abundant number, since it is smaller than the sum of its proper divisors (1336219146).

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

680295744 is a wasteful number, since it uses less digits than its factorization.

680295744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 680295744 is about 26082.4796367217. The cubic root of 680295744 is about 879.4933998755.

The spelling of 680295744 in words is "six hundred eighty million, two hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 961 992 1116 1229 1488 1922 1984 2232 2458 2883 2976 3687 3844 4464 4916 5766 5952 7374 7688 8649 8928 9832 11061 11532 14748 15376 17298 17856 19664 22122 23064 29496 30752 34596 38099 39328 44244 46128 58992 61504 69192 76198 78656 88488 92256 114297 117984 138384 152396 176976 184512 228594 235968 276768 304792 342891 353952 457188 553536 609584 685782 707904 914376 1181069 1219168 1371564 1828752 2362138 2438336 2743128 3543207 3657504 4724276 5486256 7086414 7315008 9448552 10629621 10972512 14172828 18897104 21259242 21945024 28345656 37794208 42518484 56691312 75588416 85036968 113382624 170073936 226765248 340147872 680295744