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53135180 = 2257419257
BaseRepresentation
bin1100101010110…
…0011101001100
310200222112202122
43022230131030
5102100311210
65134512112
71213433030
oct312543514
9120875678
1053135180
1127aa227a
1215965638
13b015447
1470b21c0
1549e8b55
hex32ac74c

53135180 has 48 divisors (see below), whose sum is σ = 130648896. Its totient is φ = 17771520.

The previous prime is 53135179. The next prime is 53135207. The reversal of 53135180 is 8153135.

53135180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1112 + ... + 10368.

It is an arithmetic number, because the mean of its divisors is an integer number (2721852).

Almost surely, 253135180 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 53135180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65324448).

53135180 is an abundant number, since it is smaller than the sum of its proper divisors (77513716).

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

53135180 is a wasteful number, since it uses less digits than its factorization.

53135180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 53135180 is about 7289.3881773438. The cubic root of 53135180 is about 375.9476594565.

The spelling of 53135180 in words is "fifty-three million, one hundred thirty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 9257 18514 37028 46285 64799 92570 129598 185140 259196 323995 379537 647990 759074 1295980 1518148 1897685 2656759 3795370 5313518 7590740 10627036 13283795 26567590 53135180