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53130580 = 2252656529
BaseRepresentation
bin1100101010101…
…1010101010100
310200222022110021
43022223111110
5102100134310
65134434524
71213413436
oct312532524
9120868407
1053130580
1127a99878
1215962a44
13b013319
1470b0656
1549e75da
hex32ab554

53130580 has 12 divisors (see below), whose sum is σ = 111574260. Its totient is φ = 21252224.

The previous prime is 53130563. The next prime is 53130599. The reversal of 53130580 is 8503135.

It is a happy number.

53130580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25441936 + 27688644 = 5044^2 + 5262^2 .

It is a super-3 number, since 3×531305803 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328245 + ... + 1328284.

It is an arithmetic number, because the mean of its divisors is an integer number (9297855).

Almost surely, 253130580 is an apocalyptic number.

It is an amenable number.

53130580 is an abundant number, since it is smaller than the sum of its proper divisors (58443680).

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

53130580 is a wasteful number, since it uses less digits than its factorization.

53130580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656538 (or 2656536 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 53130580 is about 7289.0726433477. The cubic root of 53130580 is about 375.9368103408.

The spelling of 53130580 in words is "fifty-three million, one hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 2656529 5313058 10626116 13282645 26565290 53130580