Search a number
-
+
12033032 = 2311136739
BaseRepresentation
bin101101111001…
…110000001000
3211122100012212
4231321300020
511040024112
61105524252
7204164504
oct55716010
924570185
1012033032
116879660
124043688
13265404b
141853304
1510ca522
hexb79c08

12033032 has 16 divisors (see below), whose sum is σ = 24613200. Its totient is φ = 5469520.

The previous prime is 12033019. The next prime is 12033037. The reversal of 12033032 is 23033021.

It is a super-2 number, since 2×120330322 = 289587718226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12032998 and 12033016.

It is not an unprimeable number, because it can be changed into a prime (12033037) 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 3 ways as a sum of consecutive naturals, for example, 68282 + ... + 68457.

It is an arithmetic number, because the mean of its divisors is an integer number (1538325).

Almost surely, 212033032 is an apocalyptic number.

It is an amenable number.

12033032 is an abundant number, since it is smaller than the sum of its proper divisors (12580168).

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

12033032 is a wasteful number, since it uses less digits than its factorization.

12033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136756 (or 136752 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 12033032 is about 3468.8660971562. The cubic root of 12033032 is about 229.1527238386.

Adding to 12033032 its reverse (23033021), we get a palindrome (35066053).

The spelling of 12033032 in words is "twelve million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 136739 273478 546956 1093912 1504129 3008258 6016516 12033032