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53560 = 23513103
BaseRepresentation
bin1101000100111000
32201110201
431010320
53203220
61051544
7312103
oct150470
981421
1053560
1137271
1226bb4
131b4c0
141573a
1510d0a
hexd138

53560 has 32 divisors (see below), whose sum is σ = 131040. Its totient is φ = 19584.

The previous prime is 53551. The next prime is 53569. The reversal of 53560 is 6535.

It is an interprime number because it is at equal distance from previous prime (53551) and next prime (53569).

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

253560 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 53560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

53560 is an abundant number, since it is smaller than the sum of its proper divisors (77480).

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

53560 is a wasteful number, since it uses less digits than its factorization.

53560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 53560 is about 231.4303350903. The cubic root of 53560 is about 37.6946911638.

It can be divided in two parts, 535 and 60, that added together give a palindrome (595).

The spelling of 53560 in words is "fifty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 515 520 824 1030 1339 2060 2678 4120 5356 6695 10712 13390 26780 53560