Search a number
-
+
565134336 = 21032135389
BaseRepresentation
bin100001101011110…
…100010000000000
31110101101210120100
4201223310100000
52124133244321
6132024442400
720001363654
oct4153642000
91411353510
10565134336
11270004878
12139319400
139010c020
14550aca64
1534932326
hex21af4400

565134336 has 264 divisors, whose sum is σ = 1810612440. Its totient is φ = 168689664.

The previous prime is 565134307. The next prime is 565134341. The reversal of 565134336 is 633431565.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 553190400 = 3456^2 + 23520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 565134336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6349780 + ... + 6349868.

Almost surely, 2565134336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905306220).

565134336 is an abundant number, since it is smaller than the sum of its proper divisors (1245478104).

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

565134336 is a wasteful number, since it uses less digits than its factorization.

565134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 565134336 is about 23772.5542590610. The cubic root of 565134336 is about 826.7684554970.

The spelling of 565134336 in words is "five hundred sixty-five million, one hundred thirty-four thousand, three hundred thirty-six".