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53122560 = 29356917
BaseRepresentation
bin1100101010100…
…1011000000000
310200221220110020
43022221120000
5102044410220
65134333440
71213351161
oct312513000
9120856406
1053122560
1127a93847
121595a280
13b00c78a
1470ab768
1549e5040
hex32a9600

53122560 has 80 divisors (see below), whose sum is σ = 169850736. Its totient is φ = 14163968.

The previous prime is 53122529. The next prime is 53122583. The reversal of 53122560 is 6522135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53122560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4222 + ... + 11138.

Almost surely, 253122560 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 53122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84925368).

53122560 is an abundant number, since it is smaller than the sum of its proper divisors (116728176).

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

53122560 is an equidigital number, since it uses as much as digits as its factorization.

53122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53122560 is about 7288.5224840155. The cubic root of 53122560 is about 375.9178936458.

Adding to 53122560 its reverse (6522135), we get a palindrome (59644695).

The spelling of 53122560 in words is "fifty-three million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 6917 7680 13834 20751 27668 34585 41502 55336 69170 83004 103755 110672 138340 166008 207510 221344 276680 332016 415020 442688 553360 664032 830040 885376 1106720 1328064 1660080 1770752 2213440 2656128 3320160 3541504 4426880 5312256 6640320 8853760 10624512 13280640 17707520 26561280 53122560