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53014560 = 2535195813
BaseRepresentation
bin1100101000111…
…1000000100000
310200202102022020
43022033000200
5102032431220
65132141440
71212421254
oct312170040
9120672266
1053014560
1127a1a695
1215907880
13aca2581
147080264
1549c3040
hex328f020

53014560 has 96 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 13390848.

The previous prime is 53014547. The next prime is 53014561. The reversal of 53014560 is 6541035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53014560.

It is not an unprimeable number, because it can be changed into a prime (53014561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6214 + ... + 12026.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 253014560 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 53014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

53014560 is an abundant number, since it is smaller than the sum of its proper divisors (122800800).

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

53014560 is a wasteful number, since it uses less digits than its factorization.

53014560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53014560 is about 7281.1098055173. The cubic root of 53014560 is about 375.6629694555.

Adding to 53014560 its reverse (6541035), we get a palindrome (59555595).

The spelling of 53014560 in words is "fifty-three million, fourteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 5813 9120 11626 17439 23252 29065 34878 46504 58130 69756 87195 93008 110447 116260 139512 174390 186016 220894 232520 279024 331341 348780 441788 465040 552235 558048 662682 697560 883576 930080 1104470 1325364 1395120 1656705 1767152 2208940 2650728 2790240 3313410 3534304 4417880 5301456 6626820 8835760 10602912 13253640 17671520 26507280 53014560