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216060 = 223513277
BaseRepresentation
bin110100101111111100
3101222101020
4310233330
523403220
64344140
71556625
oct645774
9358336
10216060
11138369
12a5050
1377460
1458a4c
1544040
hex34bfc

216060 has 48 divisors (see below), whose sum is σ = 653856. Its totient is φ = 52992.

The previous prime is 216037. The next prime is 216061. The reversal of 216060 is 60612.

216060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216061) 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, 642 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (13622).

216060 is a Friedman number, since it can be written as 60*(60^2+1), using all its digits and the basic arithmetic operations.

2216060 is an apocalyptic number.

216060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326928).

216060 is an abundant number, since it is smaller than the sum of its proper divisors (437796).

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

216060 is a wasteful number, since it uses less digits than its factorization.

216060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 216060 is about 464.8225467853. The cubic root of 216060 is about 60.0055550412.

Adding to 216060 its reverse (60612), we get a palindrome (276672).

It can be divided in two parts, 2160 and 60, that multiplied together give a square (129600 = 3602).

The spelling of 216060 in words is "two hundred sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 277 390 554 780 831 1108 1385 1662 2770 3324 3601 4155 5540 7202 8310 10803 14404 16620 18005 21606 36010 43212 54015 72020 108030 216060