Search a number
-
+
60684 = 22313389
BaseRepresentation
bin1110110100001100
310002020120
432310030
53420214
61144540
7341631
oct166414
9102216
1060684
1141658
122b150
1321810
1418188
1512ea9
hexed0c

60684 has 24 divisors (see below), whose sum is σ = 152880. Its totient is φ = 18624.

The previous prime is 60679. The next prime is 60689. The reversal of 60684 is 48606.

60684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60679) and next prime (60689).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (60689) by changing a digit.

60684 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 7 ways as a sum of consecutive naturals, for example, 39 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

260684 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 60684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

60684 is an abundant number, since it is smaller than the sum of its proper divisors (92196).

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

60684 is a wasteful number, since it uses less digits than its factorization.

60684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 60684 is about 246.3412267567. The cubic root of 60684 is about 39.2968796285.

The spelling of 60684 in words is "sixty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 389 778 1167 1556 2334 4668 5057 10114 15171 20228 30342 60684