Search a number
-
+
524320 = 25529113
BaseRepresentation
bin10000000000000100000
3222122020021
42000000200
5113234240
615123224
74312426
oct2000040
9878207
10524320
11328a25
12213514
13154864
14d9116
15a554a
hex80020

524320 has 48 divisors (see below), whose sum is σ = 1292760. Its totient is φ = 200704.

The previous prime is 524309. The next prime is 524341. The reversal of 524320 is 23425.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 258064 = 516^2 + 508^2 .

It is a super-2 number, since 2×5243202 = 549822924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 5 + 23 + 3 + 42 + 219 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 524294 and 524303.

It is a congruent number.

It is an unprimeable number.

524320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4584 + ... + 4696.

2524320 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 524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646380).

524320 is an abundant number, since it is smaller than the sum of its proper divisors (768440).

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

524320 is a wasteful number, since it uses less digits than its factorization.

524320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 524320 is about 724.0994406848. The cubic root of 524320 is about 80.6365876821.

Adding to 524320 its reverse (23425), we get a palindrome (547745).

The spelling of 524320 in words is "five hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 113 116 145 160 226 232 290 452 464 565 580 904 928 1130 1160 1808 2260 2320 3277 3616 4520 4640 6554 9040 13108 16385 18080 26216 32770 52432 65540 104864 131080 262160 524320