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53096760 = 23325831777
BaseRepresentation
bin1100101010001…
…1000100111000
310200220121001200
43022203010320
5102043044020
65134014200
71213213023
oct312430470
9120817050
1053096760
1127a76422
1215947360
13b000b02
1470a21ba
1549dc590
hex32a3138

53096760 has 96 divisors (see below), whose sum is σ = 174741840. Its totient is φ = 13980672.

The previous prime is 53096753. The next prime is 53096783. The reversal of 53096760 is 6769035.

It is a happy number.

53096760 is a `hidden beast` number, since 530 + 9 + 67 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 28992 + ... + 30768.

Almost surely, 253096760 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 53096760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87370920).

53096760 is an abundant number, since it is smaller than the sum of its proper divisors (121645080).

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

53096760 is a wasteful number, since it uses less digits than its factorization.

53096760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 53096760 is about 7286.7523630215. The cubic root of 53096760 is about 375.8570265227.

The spelling of 53096760 in words is "fifty-three million, ninety-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1777 1992 2490 2988 3320 3554 3735 4980 5331 5976 7108 7470 8885 9960 10662 14216 14940 15993 17770 21324 26655 29880 31986 35540 42648 53310 63972 71080 79965 106620 127944 147491 159930 213240 294982 319860 442473 589964 639720 737455 884946 1179928 1327419 1474910 1769892 2212365 2654838 2949820 3539784 4424730 5309676 5899640 6637095 8849460 10619352 13274190 17698920 26548380 53096760