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30380 = 2257231
BaseRepresentation
bin111011010101100
31112200012
413122230
51433010
6352352
7154400
oct73254
945605
1030380
1120909
12156b8
1310a9c
14b100
159005
hex76ac

30380 has 36 divisors (see below), whose sum is σ = 76608. Its totient is φ = 10080.

The previous prime is 30367. The next prime is 30389. The reversal of 30380 is 8303.

Adding to 30380 its reverse (8303), we get a palindrome (38683).

It can be divided in two parts, 303 and 80, that added together give a palindrome (383).

30380 = T56 + T57 + ... + T70.

30380 = 152 + 162 + ... + 452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30380.

It is not an unprimeable number, because it can be changed into a prime (30389) by changing a digit.

30380 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 11 ways as a sum of consecutive naturals, for example, 965 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (2128).

230380 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 30380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

30380 is an abundant number, since it is smaller than the sum of its proper divisors (46228).

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

30380 is a wasteful number, since it uses less digits than its factorization.

30380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 30380 is about 174.2985943718. The cubic root of 30380 is about 31.2029692550.

The spelling of 30380 in words is "thirty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 7595 15190 30380