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264236240 = 2453789269
BaseRepresentation
bin11111011111111…
…10110011010000
3200102012120222102
433233332303100
51020121024430
642115255532
76355654022
oct1757766320
9612176872
10264236240
11126177664
12745aa5a8
1342988508
1427144012
15182e7345
hexfbfecd0

264236240 has 40 divisors (see below), whose sum is σ = 630960360. Its totient is φ = 102836736.

The previous prime is 264236233. The next prime is 264236263. The reversal of 264236240 is 42632462.

It can be written as a sum of positive squares in 4 ways, for example, as 52475536 + 211760704 = 7244^2 + 14552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41675 + ... + 47594.

It is an arithmetic number, because the mean of its divisors is an integer number (15774009).

Almost surely, 2264236240 is an apocalyptic number.

264236240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264236240 is an abundant number, since it is smaller than the sum of its proper divisors (366724120).

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

264236240 is a wasteful number, since it uses less digits than its factorization.

264236240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89319 (or 89313 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 264236240 is about 16255.3449671177. The cubic root of 264236240 is about 641.6981594333.

The spelling of 264236240 in words is "two hundred sixty-four million, two hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 89269 178538 357076 446345 714152 892690 1428304 1785380 3302953 3570760 6605906 7141520 13211812 16514765 26423624 33029530 52847248 66059060 132118120 264236240