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65016 = 2333743
BaseRepresentation
bin1111110111111000
310022012000
433313320
54040031
61221000
7360360
oct176770
9108160
1065016
1144936
1231760
1323793
14199a0
15143e6
hexfdf8

65016 has 64 divisors (see below), whose sum is σ = 211200. Its totient is φ = 18144.

The previous prime is 65011. The next prime is 65027. The reversal of 65016 is 61056.

65016 is a `hidden beast` number, since 650 + 16 = 666.

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

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 65016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65011) by changing a digit.

65016 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, 1491 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (3300).

265016 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 65016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105600).

65016 is an abundant number, since it is smaller than the sum of its proper divisors (146184).

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

65016 is a wasteful number, since it uses less digits than its factorization.

65016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65016 is about 254.9823523305. The cubic root of 65016 is about 40.2105563723.

It can be divided in two parts, 650 and 16, that added together give a palindrome (666).

The spelling of 65016 in words is "sixty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 1032 1161 1204 1512 1548 1806 2322 2408 2709 3096 3612 4644 5418 7224 8127 9288 10836 16254 21672 32508 65016