Search a number
-
+
264063180 = 223538311491
BaseRepresentation
bin11111011110101…
…00100011001100
3200101212210120210
433233110203030
51020100010210
642111442420
76354333333
oct1757244314
9611783523
10264063180
11126069637
1274526410
1342927804
14270dad1a
15182b0e20
hexfbd48cc

264063180 has 48 divisors (see below), whose sum is σ = 741371904. Its totient is φ = 70226880.

The previous prime is 264063169. The next prime is 264063181. The reversal of 264063180 is 81360462.

264063180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (264063181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17235 + ... + 28725.

It is an arithmetic number, because the mean of its divisors is an integer number (15445248).

Almost surely, 2264063180 is an apocalyptic number.

264063180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264063180 is an abundant number, since it is smaller than the sum of its proper divisors (477308724).

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

264063180 is a wasteful number, since it uses less digits than its factorization.

264063180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11886 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 264063180 is about 16250.0209230635. The cubic root of 264063180 is about 641.5580366696.

The spelling of 264063180 in words is "two hundred sixty-four million, sixty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 383 766 1149 1532 1915 2298 3830 4596 5745 7660 11490 11491 22980 22982 34473 45964 57455 68946 114910 137892 172365 229820 344730 689460 4401053 8802106 13203159 17604212 22005265 26406318 44010530 52812636 66015795 88021060 132031590 264063180