Search a number
-
+
264055320 = 233252293203
BaseRepresentation
bin11111011110100…
…10101000011000
3200101212101210200
433233102220120
51020044232240
642111342200
76354301404
oct1757225030
9611771720
10264055320
11126063741
1274521960
1342924069
14270d8104
15182ad930
hexfbd2a18

264055320 has 96 divisors (see below), whose sum is σ = 862196400. Its totient is φ = 70085376.

The previous prime is 264055301. The next prime is 264055321. The reversal of 264055320 is 23550462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264055321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80839 + ... + 84041.

Almost surely, 2264055320 is an apocalyptic number.

264055320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431098200).

264055320 is an abundant number, since it is smaller than the sum of its proper divisors (598141080).

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

264055320 is a wasteful number, since it uses less digits than its factorization.

264055320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 264055320 is about 16249.7790754213. The cubic root of 264055320 is about 641.5516711523.

The spelling of 264055320 in words is "two hundred sixty-four million, fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 3203 3435 4122 4580 5496 6406 6870 8244 9160 9609 10305 12812 13740 16015 16488 19218 20610 25624 27480 28827 32030 38436 41220 48045 57654 64060 76872 82440 96090 115308 128120 144135 192180 230616 288270 384360 576540 733487 1153080 1466974 2200461 2933948 3667435 4400922 5867896 6601383 7334870 8801844 11002305 13202766 14669740 17603688 22004610 26405532 29339480 33006915 44009220 52811064 66013830 88018440 132027660 264055320