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30996 = 2233741
BaseRepresentation
bin111100100010100
31120112000
413210110
51442441
6355300
7156240
oct74424
946460
1030996
1121319
1215b30
1311154
14b420
1592b6
hex7914

30996 has 48 divisors (see below), whose sum is σ = 94080. Its totient is φ = 8640.

The previous prime is 30983. The next prime is 31013. The reversal of 30996 is 69903.

30996 = T84 + T85 + ... + T91.

30996 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30996.

It is an unprimeable number.

30996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

230996 is an apocalyptic number.

30996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

30996 is an abundant number, since it is smaller than the sum of its proper divisors (63084).

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

30996 is a wasteful number, since it uses less digits than its factorization.

30996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30996 is about 176.0568090135. The cubic root of 30996 is about 31.4124553343.

The spelling of 30996 in words is "thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 4428 5166 7749 10332 15498 30996