Search a number
-
+
13033512 = 23321571153
BaseRepresentation
bin110001101110…
…000000101000
3220112011121200
4301232000220
511314033022
61143204200
7215532402
oct61560050
926464550
1013033512
1173a22a8
124446660
13291454b
141a33b72
151226bac
hexc6e028

13033512 has 48 divisors (see below), whose sum is σ = 35554740. Its totient is φ = 4313088.

The previous prime is 13033481. The next prime is 13033529. The reversal of 13033512 is 21533031.

It can be written as a sum of positive squares in 2 ways, for example, as 13003236 + 30276 = 3606^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10728 + ... + 11880.

Almost surely, 213033512 is an apocalyptic number.

13033512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777370).

13033512 is an abundant number, since it is smaller than the sum of its proper divisors (22521228).

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

13033512 is a wasteful number, since it uses less digits than its factorization.

13033512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13033512 is about 3610.1955625700. The cubic root of 13033512 is about 235.3353413752.

Adding to 13033512 its reverse (21533031), we get a palindrome (34566543).

The spelling of 13033512 in words is "thirteen million, thirty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1153 1256 1413 1884 2306 2826 3459 3768 4612 5652 6918 9224 10377 11304 13836 20754 27672 41508 83016 181021 362042 543063 724084 1086126 1448168 1629189 2172252 3258378 4344504 6516756 13033512