Search a number
-
+
53161110 = 2355131167
BaseRepresentation
bin1100101011001…
…0110010010110
310201000212100000
43022302302112
5102102123420
65135232130
71213601442
oct312626226
9121025300
1053161110
112800a802
1215978646
13b0241a2
1470bb822
154a01690
hex32b2c96

53161110 has 96 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 13983840.

The previous prime is 53161103. The next prime is 53161117. The reversal of 53161110 is 1116135.

53161110 is a `hidden beast` number, since 53 + 1 + 611 + 1 + 0 = 666.

53161110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53161103) and next prime (53161117).

It is a super-2 number, since 2×531611102 = 5652207232864200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53161117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 318247 + ... + 318413.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 253161110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53161110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

53161110 is an abundant number, since it is smaller than the sum of its proper divisors (92136042).

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

53161110 is a wasteful number, since it uses less digits than its factorization.

53161110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 53161110 is about 7291.1665733269. The cubic root of 53161110 is about 376.0088037398.

Adding to 53161110 its reverse (1116135), we get a palindrome (54277245).

The spelling of 53161110 in words is "fifty-three million, one hundred sixty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 167 243 262 270 334 393 405 486 501 655 786 810 835 1002 1179 1215 1310 1503 1670 1965 2358 2430 2505 3006 3537 3930 4509 5010 5895 7074 7515 9018 10611 11790 13527 15030 17685 21222 21877 22545 27054 31833 35370 40581 43754 45090 53055 63666 65631 67635 81162 106110 109385 131262 135270 159165 196893 202905 218770 318330 328155 393786 405810 590679 656310 984465 1181358 1772037 1968930 2953395 3544074 5316111 5906790 8860185 10632222 17720370 26580555 53161110