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53134020 = 223252111399
BaseRepresentation
bin1100101010110…
…0001011000100
310200222111011200
43022230023010
5102100242040
65134502500
71213426452
oct312541304
9120874150
1053134020
1127aa1415
1215964a30
13b014a64
1470b19d2
1549e8630
hex32ac2c4

53134020 has 72 divisors (see below), whose sum is σ = 162052800. Its totient is φ = 14091840.

The previous prime is 53133947. The next prime is 53134021. The reversal of 53134020 is 2043135.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53133984 and 53134002.

It is not an unprimeable number, because it can be changed into a prime (53134021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37281 + ... + 38679.

Almost surely, 253134020 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 53134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81026400).

53134020 is an abundant number, since it is smaller than the sum of its proper divisors (108918780).

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

53134020 is a wasteful number, since it uses less digits than its factorization.

53134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53134020 is about 7289.3086091892. The cubic root of 53134020 is about 375.9449236516.

Adding to 53134020 its reverse (2043135), we get a palindrome (55177155).

The spelling of 53134020 in words is "fifty-three million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1399 1899 2110 2532 2798 3165 3798 4197 4220 5596 6330 6995 7596 8394 9495 12591 12660 13990 16788 18990 20985 25182 27980 37980 41970 50364 62955 83940 125910 251820 295189 590378 885567 1180756 1475945 1771134 2656701 2951890 3542268 4427835 5313402 5903780 8855670 10626804 13283505 17711340 26567010 53134020