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30696 = 2331279
BaseRepresentation
bin111011111101000
31120002220
413133220
51440241
6354040
7155331
oct73750
946086
1030696
1121076
1215920
1310c83
14b288
159166
hex77e8

30696 has 16 divisors (see below), whose sum is σ = 76800. Its totient is φ = 10224.

The previous prime is 30689. The next prime is 30697. The reversal of 30696 is 69603.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1279 = 30696 / (3 + 0 + 6 + 9 + 6).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30696.

It is not an unprimeable number, because it can be changed into a prime (30697) by changing a digit.

30696 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 3 ways as a sum of consecutive naturals, for example, 616 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (4800).

230696 is an apocalyptic number.

It is an amenable number.

30696 is an abundant number, since it is smaller than the sum of its proper divisors (46104).

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 (38400).

30696 is a wasteful number, since it uses less digits than its factorization.

30696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 30696 is about 175.2027397046. The cubic root of 30696 is about 31.3107830302.

The spelling of 30696 in words is "thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 1279 2558 3837 5116 7674 10232 15348 30696