Search a number
-
+
60016 = 2411231
BaseRepresentation
bin1110101001110000
310001022211
432221300
53410031
61141504
7336655
oct165160
9101284
1060016
1141100
122a894
1321418
1417c2c
1512bb1
hexea70

60016 has 30 divisors (see below), whose sum is σ = 131936. Its totient is φ = 26400.

The previous prime is 60013. The next prime is 60017. The reversal of 60016 is 61006.

60016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11 and base 16.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 59978 and 60005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1921 + ... + 1951.

260016 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 60016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65968).

60016 is an abundant number, since it is smaller than the sum of its proper divisors (71920).

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

60016 is a wasteful number, since it uses less digits than its factorization.

60016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 60016 is about 244.9816319645. The cubic root of 60016 is about 39.1521559848.

Subtracting 60016 from its reverse (61006), we obtain a triangular number (990 = T44).

It can be divided in two parts, 600 and 16, that added together give a palindrome (616).

The spelling of 60016 in words is "sixty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 968 1364 1936 2728 3751 5456 7502 15004 30008 60016