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30976 = 28112
BaseRepresentation
bin111100100000000
31120111021
413210000
51442401
6355224
7156211
oct74400
946437
1030976
1121300
1215b14
131113a
14b408
1592a1
hex7900

30976 has 27 divisors (see below), whose sum is σ = 67963. Its totient is φ = 14080.

The previous prime is 30971. The next prime is 30977. The reversal of 30976 is 67903.

Multipling 30976 by its sum of digits (25), we get a square (774400 = 8802).

30976 = T175 + T176.

The square root of 30976 is 176.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 30976.

It is not an unprimeable number, because it can be changed into a prime (30971) 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 2 ways as a sum of consecutive naturals, for example, 2811 + ... + 2821.

230976 is an apocalyptic number.

30976 is the 176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30976

30976 is an abundant number, since it is smaller than the sum of its proper divisors (36987).

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

30976 is an equidigital number, since it uses as much as digits as its factorization.

30976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The cubic root of 30976 is about 31.4056976422.

The spelling of 30976 in words is "thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976