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53134260 = 223519127367
BaseRepresentation
bin1100101010110…
…0001110110100
310200222111111120
43022230032310
5102100244020
65134503540
71213430244
oct312541664
9120874446
1053134260
1127aa1613
1215964bb0
13b014bba
1470b1b24
1549e8740
hex32ac3b4

53134260 has 96 divisors (see below), whose sum is σ = 158269440. Its totient is φ = 13281408.

The previous prime is 53134259. The next prime is 53134261. The reversal of 53134260 is 6243135.

It is a happy number.

53134260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53134259) and next prime (53134261).

It is a self number, because there is not a number n which added to its sum of digits gives 53134260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53134261) 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 31 ways as a sum of consecutive naturals, for example, 144597 + ... + 144963.

It is an arithmetic number, because the mean of its divisors is an integer number (1648640).

Almost surely, 253134260 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 53134260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79134720).

53134260 is an abundant number, since it is smaller than the sum of its proper divisors (105135180).

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

53134260 is a wasteful number, since it uses less digits than its factorization.

53134260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53134260 is about 7289.3250716373. The cubic root of 53134260 is about 375.9454896834.

Adding to 53134260 its reverse (6243135), we get a palindrome (59377395).

The spelling of 53134260 in words is "fifty-three million, one hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 367 380 381 508 570 635 734 762 1101 1140 1270 1468 1524 1835 1905 2202 2413 2540 3670 3810 4404 4826 5505 6973 7239 7340 7620 9652 11010 12065 13946 14478 20919 22020 24130 27892 28956 34865 36195 41838 46609 48260 69730 72390 83676 93218 104595 139460 139827 144780 186436 209190 233045 279654 418380 466090 559308 699135 885571 932180 1398270 1771142 2656713 2796540 3542284 4427855 5313426 8855710 10626852 13283565 17711420 26567130 53134260