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641020716 = 223471092593
BaseRepresentation
bin100110001101010…
…011001100101100
31122200012020010000
4212031103030230
52303100130331
6143335144300
721612405030
oct4615231454
91580166100
10641020716
112a9926396
1215a815090
13a2a5bbcb
14611c41c0
153b4220e6
hex2635332c

641020716 has 120 divisors (see below), whose sum is σ = 1933463840. Its totient is φ = 181398528.

The previous prime is 641020711. The next prime is 641020729. The reversal of 641020716 is 617020146.

641020716 is a `hidden beast` number, since 641 + 0 + 2 + 0 + 7 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 641020716.

It is not an unprimeable number, because it can be changed into a prime (641020711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245916 + ... + 248508.

Almost surely, 2641020716 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 641020716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966731920).

641020716 is an abundant number, since it is smaller than the sum of its proper divisors (1292443124).

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

641020716 is a wasteful number, since it uses less digits than its factorization.

641020716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 641020716 is about 25318.3869154415. The cubic root of 641020716 is about 862.2317714127.

The spelling of 641020716 in words is "six hundred forty-one million, twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 109 126 162 189 218 252 324 327 378 436 567 654 756 763 981 1134 1308 1526 1962 2268 2289 2593 2943 3052 3924 4578 5186 5886 6867 7779 8829 9156 10372 11772 13734 15558 17658 18151 20601 23337 27468 31116 35316 36302 41202 46674 54453 61803 70011 72604 82404 93348 108906 123606 140022 163359 210033 217812 247212 280044 282637 326718 420066 490077 565274 653436 840132 847911 980154 1130548 1470231 1695822 1960308 1978459 2543733 2940462 3391644 3956918 5087466 5880924 5935377 7631199 7913836 10174932 11870754 15262398 17806131 22893597 23741508 30524796 35612262 45787194 53418393 71224524 91574388 106836786 160255179 213673572 320510358 641020716