Search a number
-
+
643126660 = 2251117612819
BaseRepresentation
bin100110010101010…
…101010110000100
31122211011012220221
4212111111112010
52304120023120
6143452234124
721636325561
oct4625252604
91584135827
10643126660
11300034640
1215b46b944
13a3318627
14615b1868
153b6db0aa
hex26555584

643126660 has 96 divisors (see below), whose sum is σ = 1586148480. Its totient is φ = 216422400.

The previous prime is 643126657. The next prime is 643126663. The reversal of 643126660 is 66621346.

It is an interprime number because it is at equal distance from previous prime (643126657) and next prime (643126663).

It is a super-2 number, since 2×6431266602 = 827223801605511200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (643126663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226731 + ... + 229549.

It is an arithmetic number, because the mean of its divisors is an integer number (16522380).

Almost surely, 2643126660 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 643126660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793074240).

643126660 is an abundant number, since it is smaller than the sum of its proper divisors (943021820).

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

643126660 is a wasteful number, since it uses less digits than its factorization.

643126660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 643126660 is about 25359.9420346341. The cubic root of 643126660 is about 863.1749686748.

The spelling of 643126660 in words is "six hundred forty-three million, one hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 61 68 85 110 122 170 187 220 244 305 340 374 610 671 748 935 1037 1220 1342 1870 2074 2684 2819 3355 3740 4148 5185 5638 6710 10370 11276 11407 13420 14095 20740 22814 28190 31009 45628 47923 56380 57035 62018 95846 114070 124036 155045 171959 191692 228140 239615 310090 343918 479230 527153 620180 687836 859795 958460 1054306 1719590 1891549 2108612 2635765 2923303 3439180 3783098 5271530 5846606 7566196 9457745 10543060 11693212 14616515 18915490 29233030 32156333 37830980 58466060 64312666 128625332 160781665 321563330 643126660