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641726680 = 235723251397
BaseRepresentation
bin100110001111111…
…111100011011000
31122201112002111211
4212033333203120
52303240223210
6143402232504
721621405160
oct4617774330
91581462454
10641726680
112aa268831
1215aab5734
13a2c4833a
14613295a0
153b51138a
hex263ff8d8

641726680 has 128 divisors (see below), whose sum is σ = 1733114880. Its totient is φ = 209088000.

The previous prime is 641726677. The next prime is 641726681. The reversal of 641726680 is 86627146.

641726680 = T384 + T385 + ... + T1574.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641726681) 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, 1616242 + ... + 1616638.

It is an arithmetic number, because the mean of its divisors is an integer number (13539960).

Almost surely, 2641726680 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 641726680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866557440).

641726680 is an abundant number, since it is smaller than the sum of its proper divisors (1091388200).

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

641726680 is a wasteful number, since it uses less digits than its factorization.

641726680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 641726680 is about 25332.3248044865. The cubic root of 641726680 is about 862.5481841036.

The spelling of 641726680 in words is "six hundred forty-one million, seven hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 251 280 322 397 460 502 644 794 805 920 1004 1255 1288 1588 1610 1757 1985 2008 2510 2779 3176 3220 3514 3970 5020 5558 5773 6440 7028 7940 8785 9131 10040 11116 11546 13895 14056 15880 17570 18262 22232 23092 27790 28865 35140 36524 40411 45655 46184 55580 57730 63917 70280 73048 80822 91310 99647 111160 115460 127834 161644 182620 199294 202055 230920 255668 319585 323288 365240 398588 404110 498235 511336 639170 697529 797176 808220 996470 1278340 1395058 1616440 1992940 2291881 2556680 2790116 3487645 3985880 4583762 5580232 6975290 9167524 11459405 13950580 16043167 18335048 22918810 27901160 32086334 45837620 64172668 80215835 91675240 128345336 160431670 320863340 641726680