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53130240 = 2103251153
BaseRepresentation
bin1100101010101…
…1010000000000
310200222021222200
43022223100000
5102100131430
65134433200
71213412442
oct312532000
9120867880
1053130240
1127a99599
1215962800
13b013117
1470b0492
1549e7460
hex32ab400

53130240 has 132 divisors (see below), whose sum is σ = 184254564. Its totient is φ = 14155776.

The previous prime is 53130199. The next prime is 53130247. The reversal of 53130240 is 4203135.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 22127616 = 5568^2 + 4704^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53130247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45504 + ... + 46656.

Almost surely, 253130240 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 53130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92127282).

53130240 is an abundant number, since it is smaller than the sum of its proper divisors (131124324).

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

53130240 is a wasteful number, since it uses less digits than its factorization.

53130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1163 counting only the distinct ones).

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

The square root of 53130240 is about 7289.0493207276. The cubic root of 53130240 is about 375.9360084248.

Adding to 53130240 its reverse (4203135), we get a palindrome (57333375).

The spelling of 53130240 in words is "fifty-three million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1153 1280 1440 1536 1920 2304 2306 2560 2880 3072 3459 3840 4608 4612 5120 5760 5765 6918 7680 9216 9224 10377 11520 11530 13836 15360 17295 18448 20754 23040 23060 27672 34590 36896 41508 46080 46120 51885 55344 69180 73792 83016 92240 103770 110688 138360 147584 166032 184480 207540 221376 276720 295168 332064 368960 415080 442752 553440 590336 664128 737920 830160 885504 1106880 1180672 1328256 1475840 1660320 1771008 2213760 2656512 2951680 3320640 3542016 4427520 5313024 5903360 6641280 8855040 10626048 13282560 17710080 26565120 53130240