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53241320 = 23511235261
BaseRepresentation
bin1100101100011…
…0010111101000
310201011221100202
43023012113220
5102112210240
65141051332
71214354336
oct313062750
9121157322
1053241320
1128064aa0
12159b6b48
13b051852
1470dcb56
154a1a315
hex32c65e8

53241320 has 64 divisors (see below), whose sum is σ = 136391040. Its totient is φ = 18515200.

The previous prime is 53241317. The next prime is 53241341. The reversal of 53241320 is 2314235.

53241320 = T395 + T396 + ... + T724.

It is a happy number.

53241320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 53241292 and 53241301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7490 + ... + 12750.

It is an arithmetic number, because the mean of its divisors is an integer number (2131110).

Almost surely, 253241320 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 53241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68195520).

53241320 is an abundant number, since it is smaller than the sum of its proper divisors (83149720).

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

53241320 is a wasteful number, since it uses less digits than its factorization.

53241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 53241320 is about 7296.6649916246. The cubic root of 53241320 is about 376.1978172904.

Adding to 53241320 its reverse (2314235), we get a palindrome (55555555).

The spelling of 53241320 in words is "fifty-three million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 5261 10120 10522 21044 26305 42088 52610 57871 105220 115742 121003 210440 231484 242006 289355 462968 484012 578710 605015 968024 1157420 1210030 1331033 2314840 2420060 2662066 4840120 5324132 6655165 10648264 13310330 26620660 53241320