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33136 = 2419109
BaseRepresentation
bin1000000101110000
31200110021
420011300
52030021
6413224
7165415
oct100560
950407
1033136
1122994
1217214
131210c
14c10c
159c41
hex8170

33136 has 20 divisors (see below), whose sum is σ = 68200. Its totient is φ = 15552.

The previous prime is 33119. The next prime is 33149. The reversal of 33136 is 63133.

33136 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (3410).

233136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34100).

33136 is an abundant number, since it is smaller than the sum of its proper divisors (35064).

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

33136 is a wasteful number, since it uses less digits than its factorization.

33136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its digits is 162, while the sum is 16.

The square root of 33136 is about 182.0329640477. The cubic root of 33136 is about 32.1193460049.

Adding to 33136 its reverse (63133), we get a palindrome (96269).

It can be divided in two parts, 33 and 136, that added together give a square (169 = 132).

The spelling of 33136 in words is "thirty-three thousand, one hundred thirty-six".