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33280 = 29513
BaseRepresentation
bin1000001000000000
31200122121
420020000
52031110
6414024
7166012
oct101000
950577
1033280
1123005
1217314
13121c0
14c1b2
159cda
hex8200

33280 has 40 divisors (see below), whose sum is σ = 85932. Its totient is φ = 12288.

The previous prime is 33247. The next prime is 33287. The reversal of 33280 is 8233.

33280 divided by its sum of digits (16) gives a triangular number (2080 = T64).

It can be divided in two parts, 33 and 280, that added together give a palindrome (313).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 2304 = 176^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×332802 = 2215116800, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (33287) by changing a digit.

33280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2554 + ... + 2566.

233280 is an apocalyptic number.

33280 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966).

33280 is an abundant number, since it is smaller than the sum of its proper divisors (52652).

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

33280 is an equidigital number, since it uses as much as digits as its factorization.

33280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33280 is about 182.4280680159. The cubic root of 33280 is about 32.1658060687.

The spelling of 33280 in words is "thirty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280