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30030 = 23571113
BaseRepresentation
bin111010101001110
31112012020
413111032
51430110
6351010
7153360
oct72516
945166
1030030
1120620
1215466
1310890
14ad30
158d70
hex754e

30030 has 64 divisors (see below), whose sum is σ = 96768. Its totient is φ = 5760.

The previous prime is 30029. The next prime is 30047. The reversal of 30030 is 3003.

It is a primorial, being the product of the first 6 primes.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304 + ... + 2316.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

230030 is an apocalyptic number.

30030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

30030 is an abundant number, since it is smaller than the sum of its proper divisors (66738).

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

30030 is a wasteful number, since it uses less digits than its factorization.

30030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41.

The product of its (nonzero) digits is 9, while the sum is 6.

The square root of 30030 is about 173.2916616574. The cubic root of 30030 is about 31.0826790507.

Adding to 30030 its reverse (3003), we get a palindrome (33033).

The spelling of 30030 in words is "thirty thousand, thirty", and thus it is an eban number.

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030