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33130 = 253313
BaseRepresentation
bin1000000101101010
31200110001
420011222
52030010
6413214
7165406
oct100552
950401
1033130
1122989
121720a
1312106
14c106
159c3a
hex816a

33130 has 8 divisors (see below), whose sum is σ = 59652. Its totient is φ = 13248.

The previous prime is 33119. The next prime is 33149. The reversal of 33130 is 3133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32041 + 1089 = 179^2 + 33^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 3313 = 33130 / (3 + 3 + 1 + 3 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1647 + ... + 1666.

233130 is an apocalyptic number.

33130 is a deficient number, since it is larger than the sum of its proper divisors (26522).

33130 is a wasteful number, since it uses less digits than its factorization.

33130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 33130 is about 182.0164827701. The cubic root of 33130 is about 32.1174072504.

Adding to 33130 its reverse (3133), we get a palindrome (36263).

It can be divided in two parts, 331 and 30, that added together give a square (361 = 192).

The spelling of 33130 in words is "thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 3313 6626 16565 33130