Search a number
-
+
264266420 = 225112109201
BaseRepresentation
bin11111100000001…
…10001010110100
3200102021010101012
433300012022310
51020123011140
642120051352
76356141015
oct1760061264
9612233335
10264266420
11126198300
1274603b58
1342999182
142715100c
1518301265
hexfc062b4

264266420 has 36 divisors (see below), whose sum is σ = 610002372. Its totient is φ = 96096000.

The previous prime is 264266419. The next prime is 264266423. The reversal of 264266420 is 24662462.

It can be written as a sum of positive squares in 2 ways, for example, as 164506276 + 99760144 = 12826^2 + 9988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264266423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52181 + ... + 57020.

Almost surely, 2264266420 is an apocalyptic number.

264266420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264266420 is an abundant number, since it is smaller than the sum of its proper divisors (345735952).

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

264266420 is a wasteful number, since it uses less digits than its factorization.

264266420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109232 (or 109219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 264266420 is about 16256.2732506562. The cubic root of 264266420 is about 641.7225892304.

The spelling of 264266420 in words is "two hundred sixty-four million, two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 109201 218402 436804 546005 1092010 1201211 2184020 2402422 4804844 6006055 12012110 13213321 24024220 26426642 52853284 66066605 132133210 264266420