Search a number
-
+
53140 = 2252657
BaseRepresentation
bin1100111110010100
32200220011
430332110
53200030
61050004
7310633
oct147624
980804
1053140
1136a1a
1226904
131b259
141551a
1510b2a
hexcf94

53140 has 12 divisors (see below), whose sum is σ = 111636. Its totient is φ = 21248.

The previous prime is 53129. The next prime is 53147. The reversal of 53140 is 4135.

53140 = T161 + T162 + ... + T164.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 26244 = 164^2 + 162^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 53140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1309 + ... + 1348.

It is an arithmetic number, because the mean of its divisors is an integer number (9303).

253140 is an apocalyptic number.

It is an amenable number.

53140 is an abundant number, since it is smaller than the sum of its proper divisors (58496).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55818).

53140 is a wasteful number, since it uses less digits than its factorization.

53140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 53140 is about 230.5211487044. The cubic root of 53140 is about 37.5959026771.

Adding to 53140 its reverse (4135), we get a palindrome (57275).

The spelling of 53140 in words is "fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2657 5314 10628 13285 26570 53140