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605132164 = 227213534481
BaseRepresentation
bin100100000100011…
…001010110000100
31120011122220021101
4210010121112010
52214403212124
6140014025444
720665352500
oct4404312604
91504586241
10605132164
1129064382a
1214a7a8284
13984a4890
145a521300
15381d3644
hex24119584

605132164 has 72 divisors (see below), whose sum is σ = 1351968408. Its totient is φ = 234823680.

The previous prime is 605132149. The next prime is 605132201. The reversal of 605132164 is 461231506.

It can be written as a sum of positive squares in 4 ways, for example, as 120780100 + 484352064 = 10990^2 + 22008^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132804 + ... + 137284.

It is an arithmetic number, because the mean of its divisors is an integer number (18777339).

Almost surely, 2605132164 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 605132164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675984204).

605132164 is an abundant number, since it is smaller than the sum of its proper divisors (746836244).

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

605132164 is a wasteful number, since it uses less digits than its factorization.

605132164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 605132164 is about 24599.4342211361. The cubic root of 605132164 is about 845.8306382263.

The spelling of 605132164 in words is "six hundred five million, one hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 53 91 98 106 182 196 212 364 371 637 689 742 1274 1378 1484 2548 2597 2756 4481 4823 5194 8962 9646 10388 17924 19292 31367 33761 58253 62734 67522 116506 125468 135044 219569 233012 237493 407771 439138 474986 815542 878276 949972 1631084 1662451 2854397 3087409 3324902 5708794 6174818 6649804 11417588 11637157 12349636 21611863 23274314 43223726 46548628 86447452 151283041 302566082 605132164