Search a number
-
+
264002860 = 225111770589
BaseRepresentation
bin11111011110001…
…01110100101100
3200101202201211201
433233011310230
51020041042420
642110255244
76353662432
oct1757056454
9611681751
10264002860
11126028290
12744b7524
1342906214
14270c2d52
151829d10a
hexfbc5d2c

264002860 has 48 divisors (see below), whose sum is σ = 640392480. Its totient is φ = 90352640.

The previous prime is 264002857. The next prime is 264002867. The reversal of 264002860 is 68200462.

264002860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264002867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31555 + ... + 39034.

It is an arithmetic number, because the mean of its divisors is an integer number (13341510).

Almost surely, 2264002860 is an apocalyptic number.

264002860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264002860 is an abundant number, since it is smaller than the sum of its proper divisors (376389620).

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

264002860 is a wasteful number, since it uses less digits than its factorization.

264002860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70626 (or 70624 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 264002860 is about 16248.1648194496. The cubic root of 264002860 is about 641.5091825434.

The spelling of 264002860 in words is "two hundred sixty-four million, two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 70589 141178 282356 352945 705890 776479 1200013 1411780 1552958 2400026 3105916 3882395 4800052 6000065 7764790 12000130 13200143 15529580 24000260 26400286 52800572 66000715 132001430 264002860