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53040 = 24351317
BaseRepresentation
bin1100111100110000
32200202110
430330300
53144130
61045320
7310431
oct147460
980673
1053040
1136939
1226840
131b1b0
1415488
1510ab0
hexcf30

53040 has 80 divisors (see below), whose sum is σ = 187488. Its totient is φ = 12288.

The previous prime is 53017. The next prime is 53047. The reversal of 53040 is 4035.

53040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53040.

It is not an unprimeable number, because it can be changed into a prime (53047) by changing a digit.

53040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3112 + ... + 3128.

253040 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 53040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

53040 is an abundant number, since it is smaller than the sum of its proper divisors (134448).

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

53040 is a wasteful number, since it uses less digits than its factorization.

53040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 53040 is about 230.3041467278. The cubic root of 53040 is about 37.5723049414.

Adding to 53040 its reverse (4035), we get a palindrome (57075).

The spelling of 53040 in words is "fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 53040