Search a number
-
+
30753 = 331767
BaseRepresentation
bin111100000100001
31120012000
413200201
51441003
6354213
7155442
oct74041
946160
1030753
1121118
1215969
1310cc8
14b2c9
1591a3
hex7821

30753 has 16 divisors (see below), whose sum is σ = 48960. Its totient is φ = 19008.

The previous prime is 30727. The next prime is 30757. The reversal of 30753 is 35703.

It is not a de Polignac number, because 30753 - 26 = 30689 is a prime.

It is a super-3 number, since 3×307533 = 87253673303331, which contains 333 as substring.

It is a Curzon number.

30753 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30753.

It is not an unprimeable number, because it can be changed into a prime (30757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

230753 is an apocalyptic number.

It is an amenable number.

30753 is a deficient number, since it is larger than the sum of its proper divisors (18207).

30753 is a wasteful number, since it uses less digits than its factorization.

30753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 30753 is about 175.3653329481. The cubic root of 30753 is about 31.3301515807.

Subtracting 30753 from its reverse (35703), we obtain a triangular number (4950 = T99).

The spelling of 30753 in words is "thirty thousand, seven hundred fifty-three".

Divisors: 1 3 9 17 27 51 67 153 201 459 603 1139 1809 3417 10251 30753