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30876 = 2233183
BaseRepresentation
bin111100010011100
31120100120
413202130
51442001
6354540
7156006
oct74234
946316
1030876
112121a
1215a50
1311091
14b376
159236
hex789c

30876 has 24 divisors (see below), whose sum is σ = 75264. Its totient is φ = 9840.

The previous prime is 30871. The next prime is 30881. The reversal of 30876 is 67803.

30876 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

30876 is a nontrivial binomial coefficient, being equal to C(249, 2).

It is an interprime number because it is at equal distance from previous prime (30871) and next prime (30881).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30871) by changing a digit.

30876 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 7 ways as a sum of consecutive naturals, for example, 331 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (3136).

230876 is an apocalyptic number.

30876 is the 248-th triangular number.

It is an amenable number.

30876 is an abundant number, since it is smaller than the sum of its proper divisors (44388).

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 (37632).

30876 is a wasteful number, since it uses less digits than its factorization.

30876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30876 is about 175.7156794370. The cubic root of 30876 is about 31.3718654773.

The spelling of 30876 in words is "thirty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 31 62 83 93 124 166 186 249 332 372 498 996 2573 5146 7719 10292 15438 30876