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60468 = 2235039
BaseRepresentation
bin1110110000110100
310001221120
432300310
53413333
61143540
7341202
oct166064
9101846
1060468
1141481
122abb0
13216a5
1418072
1512db3
hexec34

60468 has 12 divisors (see below), whose sum is σ = 141120. Its totient is φ = 20152.

The previous prime is 60457. The next prime is 60493. The reversal of 60468 is 86406.

60468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2508 + ... + 2531.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

260468 is an apocalyptic number.

It is an amenable number.

60468 is an abundant number, since it is smaller than the sum of its proper divisors (80652).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

60468 is a wasteful number, since it uses less digits than its factorization.

60468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5044 counting only the distinct ones).

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

The square root of 60468 is about 245.9024196709. The cubic root of 60468 is about 39.2501994662.

It can be divided in two parts, 60 and 468, that added together give a triangular number (528 = T32).

The spelling of 60468 in words is "sixty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 5039 10078 15117 20156 30234 60468