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53245120 = 265227733
BaseRepresentation
bin1100101100011…
…1010011000000
310201012010120111
43023013103000
5102112320440
65141121104
71214401405
oct313072300
9121163514
1053245120
1128067935
12159b9194
13b0534b6
1471002ac
154a1b4ea
hex32c74c0

53245120 has 56 divisors (see below), whose sum is σ = 127522224. Its totient is φ = 21175296.

The previous prime is 53245117. The next prime is 53245121. The reversal of 53245120 is 2154235.

It is a junction number, because it is equal to n+sod(n) for n = 53245091 and 53245100.

It is not an unprimeable number, because it can be changed into a prime (53245121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72274 + ... + 73006.

Almost surely, 253245120 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 53245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63761112).

53245120 is an abundant number, since it is smaller than the sum of its proper divisors (74277104).

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

53245120 is a wasteful number, since it uses less digits than its factorization.

53245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 53245120 is about 7296.9253799117. The cubic root of 53245120 is about 376.2067672168.

Adding to 53245120 its reverse (2154235), we get a palindrome (55399355).

The spelling of 53245120 in words is "fifty-three million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 227 320 454 733 908 1135 1466 1816 2270 2932 3632 3665 4540 5864 7264 7330 9080 11728 14528 14660 18160 23456 29320 36320 46912 58640 72640 117280 166391 234560 332782 665564 831955 1331128 1663910 2662256 3327820 5324512 6655640 10649024 13311280 26622560 53245120