Search a number
-
+
264069405 = 3259760497
BaseRepresentation
bin11111011110101…
…10000100011101
3200101220010010100
433233112010131
51020100210110
642111531313
76354360435
oct1757260435
9611803110
10264069405
11126073286
1274529b39
134292a5b2
14270dd2c5
15182b2bc0
hexfbd611d

264069405 has 24 divisors (see below), whose sum is σ = 462446712. Its totient is φ = 139382784.

The previous prime is 264069383. The next prime is 264069431. The reversal of 264069405 is 504960462.

264069405 is a `hidden beast` number, since 2 + 640 + 6 + 9 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75116889 + 188952516 = 8667^2 + 13746^2 .

It is not a de Polignac number, because 264069405 - 211 = 264067357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264069405.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25884 + ... + 34613.

It is an arithmetic number, because the mean of its divisors is an integer number (19268613).

Almost surely, 2264069405 is an apocalyptic number.

It is an amenable number.

264069405 is a deficient number, since it is larger than the sum of its proper divisors (198377307).

264069405 is a wasteful number, since it uses less digits than its factorization.

264069405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60605 (or 60602 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 264069405 is about 16250.2124601496. The cubic root of 264069405 is about 641.5630779725.

The spelling of 264069405 in words is "two hundred sixty-four million, sixty-nine thousand, four hundred five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 60497 181491 302485 544473 907455 2722365 5868209 17604627 29341045 52813881 88023135 264069405