Search a number
-
+
641394260 = 2251337611093
BaseRepresentation
bin100110001110101…
…110011001010100
31122200220012111222
4212032232121110
52303144104020
6143351145512
721615522053
oct4616563124
91580805458
10641394260
112aa061001
1215a975298
13a2b5cc40
146128039a
153b497b25
hex263ae654

641394260 has 96 divisors (see below), whose sum is σ = 1515548832. Its totient is φ = 226437120.

The previous prime is 641394227. The next prime is 641394269. The reversal of 641394260 is 62493146.

641394260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 97851664 + 543542596 = 9892^2 + 23314^2 .

It is a super-2 number, since 2×6413942602 = 822773193521895200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 641394260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641394269) 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, 586274 + ... + 587366.

It is an arithmetic number, because the mean of its divisors is an integer number (15786967).

Almost surely, 2641394260 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 641394260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757774416).

641394260 is an abundant number, since it is smaller than the sum of its proper divisors (874154572).

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

641394260 is a wasteful number, since it uses less digits than its factorization.

641394260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 641394260 is about 25325.7627723234. The cubic root of 641394260 is about 862.3992225598.

The spelling of 641394260 in words is "six hundred forty-one million, three hundred ninety-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 61 65 74 122 130 148 185 244 260 305 370 481 610 740 793 962 1093 1220 1586 1924 2186 2257 2405 3172 3965 4372 4514 4810 5465 7930 9028 9620 10930 11285 14209 15860 21860 22570 28418 29341 40441 45140 56836 58682 66673 71045 80882 117364 133346 142090 146705 161764 202205 266692 284180 293410 333365 404410 525733 586820 666730 808820 866749 1051466 1333460 1733498 2102932 2466901 2628665 3466996 4333745 4933802 5257330 8667490 9867604 10514660 12334505 17334980 24669010 32069713 49338020 64139426 128278852 160348565 320697130 641394260