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53540180 = 2259372857
BaseRepresentation
bin1100110000111…
…1010101010100
310201202010022122
43030033111110
5102201241210
65151315112
71220040551
oct314172524
9121663278
1053540180
1128249591
1215b1ba98
13b1278a5
147179a28
154a78b55
hex330f554

53540180 has 24 divisors (see below), whose sum is σ = 112593768. Its totient is φ = 21385728.

The previous prime is 53540173. The next prime is 53540189. The reversal of 53540180 is 8104535.

53540180 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 4 ways, for example, as 948676 + 52591504 = 974^2 + 7252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53540189) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17312 + ... + 20168.

It is an arithmetic number, because the mean of its divisors is an integer number (4691407).

Almost surely, 253540180 is an apocalyptic number.

It is an amenable number.

53540180 is an abundant number, since it is smaller than the sum of its proper divisors (59053588).

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

53540180 is a wasteful number, since it uses less digits than its factorization.

53540180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 53540180 is about 7317.1155519098. The cubic root of 53540180 is about 376.9004092136.

The spelling of 53540180 in words is "fifty-three million, five hundred forty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 937 1874 2857 3748 4685 5714 9370 11428 14285 18740 28570 57140 2677009 5354018 10708036 13385045 26770090 53540180