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930 = 23531
BaseRepresentation
bin1110100010
31021110
432202
512210
64150
72466
oct1642
91243
10930
11776
12656
13567
144a6
15420
hex3a2

930 has 16 divisors (see below), whose sum is σ = 2304. Its totient is φ = 240.

The previous prime is 929. The next prime is 937. The reversal of 930 is 39.

Subtracting from 930 its product of nonzero digits (27), we obtain a triangular number (903 = T42).

Adding to 930 its reverse (39), we get a palindrome (969).

930 is nontrivially palindromic in base 12.

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

930 is an esthetic number in base 12 and base 13, because in such bases its adjacent digits differ by 1.

930 is an undulating number in base 12.

It is a Curzon number.

It is a plaindrome in base 7 and base 13.

It is a nialpdrome in base 10, base 11 and base 15.

It is not an unprimeable number, because it can be changed into a prime (937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 45.

It is an arithmetic number, because the mean of its divisors is an integer number (144).

It is a pronic number, being equal to 30×31.

It is a practical number, because each smaller number is the sum of distinct divisors of 930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152).

930 is an abundant number, since it is smaller than the sum of its proper divisors (1374).

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

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

930 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 27, while the sum is 12.

The square root of 930 is about 30.4959013640. The cubic root of 930 is about 9.7610000767.

The spelling of 930 in words is "nine hundred thirty", and thus it is an aban number and an oban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930