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60516 = 2232412
BaseRepresentation
bin1110110001100100
310002000100
432301210
53414031
61144100
7341301
oct166144
9102010
1060516
1141515
122b030
1321711
14180a8
1512de6
hexec64

60516 has 27 divisors (see below), whose sum is σ = 156793. Its totient is φ = 19680.

The previous prime is 60509. The next prime is 60521. The reversal of 60516 is 61506.

60516 = T53 + T54 + ... + T79.

The square root of 60516 is 246.

It is a perfect power (a square), and thus also a powerful number.

60516 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 57600 = 54^2 + 240^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1456 + ... + 1496.

260516 is an apocalyptic number.

60516 is the 246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60516

60516 is an abundant number, since it is smaller than the sum of its proper divisors (96277).

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

60516 is a wasteful number, since it uses less digits than its factorization.

60516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

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

The cubic root of 60516 is about 39.2605824306.

Subtracting 60516 from its reverse (61506), we obtain a triangular number (990 = T44).

It can be divided in two parts, 60 and 516, that added together give a square (576 = 242).

The spelling of 60516 in words is "sixty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 6724 10086 15129 20172 30258 60516