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832520 = 235131601
BaseRepresentation
bin11001011010000001000
31120022000002
43023100020
5203120040
625502132
710035113
oct3132010
91508002
10832520
11519537
12341948
13231c20
1417957a
15116a15
hexcb408

832520 has 32 divisors (see below), whose sum is σ = 2018520. Its totient is φ = 307200.

The previous prime is 832519. The next prime is 832583. The reversal of 832520 is 25238.

It can be written as a sum of positive squares in 4 ways, for example, as 763876 + 68644 = 874^2 + 262^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 8 + 311 + 5 + 217 + 219 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 832492 and 832501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 1320.

2832520 is an apocalyptic number.

It is an amenable number.

832520 is an abundant number, since it is smaller than the sum of its proper divisors (1186000).

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

832520 is a wasteful number, since it uses less digits than its factorization.

832520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 832520 is about 912.4253394114. The cubic root of 832520 is about 94.0729778838.

Adding to 832520 its reverse (25238), we get a palindrome (857758).

The spelling of 832520 in words is "eight hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1601 3202 6404 8005 12808 16010 20813 32020 41626 64040 83252 104065 166504 208130 416260 832520