Search a number
-
+
30716 = 2271097
BaseRepresentation
bin111011111111100
31120010122
413133330
51440331
6354112
7155360
oct73774
946118
1030716
1121094
1215938
1310c9a
14b2a0
15917b
hex77fc

30716 has 12 divisors (see below), whose sum is σ = 61488. Its totient is φ = 13152.

The previous prime is 30713. The next prime is 30727. The reversal of 30716 is 61703.

30716 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 30694 and 30703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

230716 is an apocalyptic number.

It is an amenable number.

30716 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (30744).

30716 is a wasteful number, since it uses less digits than its factorization.

30716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 30716 is about 175.2598071436. The cubic root of 30716 is about 31.3175817413.

It can be divided in two parts, 307 and 16, that added together give a palindrome (323).

The spelling of 30716 in words is "thirty thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 1097 2194 4388 7679 15358 30716