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30135 = 357241
BaseRepresentation
bin111010110110111
31112100010
413112313
51431020
6351303
7153600
oct72667
945303
1030135
1120706
1215533
1310941
158de0
hex75b7

30135 has 24 divisors (see below), whose sum is σ = 57456. Its totient is φ = 13440.

The previous prime is 30133. The next prime is 30137. The reversal of 30135 is 53103.

It is a happy number.

30135 is a nontrivial binomial coefficient, being equal to C(246, 2).

It is an interprime number because it is at equal distance from previous prime (30133) and next prime (30137).

It is not a de Polignac number, because 30135 - 21 = 30133 is a prime.

30135 is a modest number, since divided by 135 gives 30 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 30135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

230135 is an apocalyptic number.

30135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30135 is the 245-th triangular number and also the 123-rd hexagonal number.

30135 is a deficient number, since it is larger than the sum of its proper divisors (27321).

30135 is a wasteful number, since it uses less digits than its factorization.

30135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 30135 is about 173.5943547469. The cubic root of 30135 is about 31.1188638087.

Adding to 30135 its reverse (53103), we get a palindrome (83238).

The spelling of 30135 in words is "thirty thousand, one hundred thirty-five".