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60828 = 22337137
BaseRepresentation
bin1110110110011100
310002102220
432312130
53421303
61145340
7342225
oct166634
9102386
1060828
1141779
122b250
13218c1
141824c
1513053
hexed9c

60828 has 24 divisors (see below), whose sum is σ = 146832. Its totient is φ = 19584.

The previous prime is 60821. The next prime is 60859. The reversal of 60828 is 82806.

It is a junction number, because it is equal to n+sod(n) for n = 60798 and 60807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60821) by changing a digit.

60828 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, 376 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (6118).

260828 is an apocalyptic number.

It is an amenable number.

60828 is an abundant number, since it is smaller than the sum of its proper divisors (86004).

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 (73416).

60828 is a wasteful number, since it uses less digits than its factorization.

60828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 60828 is about 246.6333310808. The cubic root of 60828 is about 39.3279382303.

It can be divided in two parts, 608 and 28, that added together give a palindrome (636).

The spelling of 60828 in words is "sixty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 37 74 111 137 148 222 274 411 444 548 822 1644 5069 10138 15207 20276 30414 60828