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30060 = 22325167
BaseRepresentation
bin111010101101100
31112020100
413111230
51430220
6351100
7153432
oct72554
945210
1030060
1120648
1215490
13108b4
14ad52
158d90
hex756c

30060 has 36 divisors (see below), whose sum is σ = 91728. Its totient is φ = 7968.

The previous prime is 30059. The next prime is 30071. The reversal of 30060 is 6003.

Adding to 30060 its reverse (6003), we get a palindrome (36063).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

230060 is an apocalyptic number.

30060 is a gapful number since it is divisible by the number (30) 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 30060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

30060 is an abundant number, since it is smaller than the sum of its proper divisors (61668).

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

30060 is a wasteful number, since it uses less digits than its factorization.

30060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30060 is about 173.3781993216. The cubic root of 30060 is about 31.0930261483.

The spelling of 30060 in words is "thirty thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060