Search a number
-
+
609534640 = 245111353281
BaseRepresentation
bin100100010101001…
…100001010110000
31120110221120100001
4210111030022300
52222020102030
6140252235344
721050646631
oct4425141260
91513846301
10609534640
11293080440
1215016bb54
13993866b0
145ad49888
15387a2cca
hex2454c2b0

609534640 has 80 divisors (see below), whose sum is σ = 1664955936. Its totient is φ = 204595200.

The previous prime is 609534623. The next prime is 609534647. The reversal of 609534640 is 46435906.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 609534640.

It is not an unprimeable number, because it can be changed into a prime (609534647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15201 + ... + 38080.

Almost surely, 2609534640 is an apocalyptic number.

It is an amenable number.

609534640 is an abundant number, since it is smaller than the sum of its proper divisors (1055421296).

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

609534640 is a wasteful number, since it uses less digits than its factorization.

609534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53318 (or 53312 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 609534640 is about 24688.7553351723. The cubic root of 609534640 is about 847.8768882033.

The spelling of 609534640 in words is "six hundred nine million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 53281 106562 213124 266405 426248 532810 586091 692653 852496 1065620 1172182 1385306 2131240 2344364 2770612 2930455 3463265 4262480 4688728 5541224 5860910 6926530 7619183 9377456 11082448 11721820 13853060 15238366 23443640 27706120 30476732 38095915 46887280 55412240 60953464 76191830 121906928 152383660 304767320 609534640