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53113320 = 2334513297
BaseRepresentation
bin1100101010011…
…1000111101000
310200221102210000
43022213013220
5102044111240
65134223000
71213312221
oct312470750
9120842700
1053113320
1127a87907
1215954a60
13b008500
1470a8248
1549e2430
hex32a71e8

53113320 has 240 divisors, whose sum is σ = 195301260. Its totient is φ = 12939264.

The previous prime is 53113309. The next prime is 53113339. The reversal of 53113320 is 2331135.

53113320 is a `hidden beast` number, since 531 + 133 + 2 + 0 = 666.

53113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4588164 + 48525156 = 2142^2 + 6966^2 .

It is a super-2 number, since 2×531133202 = 5642049522844800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53113293 and 53113302.

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 59 ways as a sum of consecutive naturals, for example, 547512 + ... + 547608.

Almost surely, 253113320 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 53113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97650630).

53113320 is an abundant number, since it is smaller than the sum of its proper divisors (142187940).

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

53113320 is a wasteful number, since it uses less digits than its factorization.

53113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 53113320 is about 7287.8885831220. Note that the first 3 decimals coincide. The cubic root of 53113320 is about 375.8960969882.

Adding to 53113320 its reverse (2331135), we get a palindrome (55444455).

The spelling of 53113320 in words is "fifty-three million, one hundred thirteen thousand, three hundred twenty".