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534560 = 25513257
BaseRepresentation
bin10000010100000100000
31000011021112
42002200200
5114101220
615242452
74354325
oct2024040
91004245
10534560
11335694
12219428
13159410
14dcb4c
15a85c5
hex82820

534560 has 48 divisors (see below), whose sum is σ = 1365336. Its totient is φ = 196608.

The previous prime is 534553. The next prime is 534571. The reversal of 534560 is 65435.

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 55696 = 692^2 + 236^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 534560.

It is an unprimeable number.

534560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952 + ... + 2208.

2534560 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 534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682668).

534560 is an abundant number, since it is smaller than the sum of its proper divisors (830776).

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

534560 is a wasteful number, since it uses less digits than its factorization.

534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 534560 is about 731.1361022409. The cubic root of 534560 is about 81.1581526224.

Adding to 534560 its reverse (65435), we get a palindrome (599995).

The spelling of 534560 in words is "five hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 257 260 416 514 520 1028 1040 1285 2056 2080 2570 3341 4112 5140 6682 8224 10280 13364 16705 20560 26728 33410 41120 53456 66820 106912 133640 267280 534560