Search a number
-
+
12036520 = 235614933
BaseRepresentation
bin101101111010…
…100110101000
3211122112000001
4231322212220
511040132040
61105552344
7204210616
oct55724650
924575001
1012036520
116881241
1240456b4
132655802
1418546b6
1510cb59a
hexb7a9a8

12036520 has 32 divisors (see below), whose sum is σ = 27531720. Its totient is φ = 4734720.

The previous prime is 12036511. The next prime is 12036523. The reversal of 12036520 is 2563021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5098564 + 6937956 = 2258^2 + 2634^2 .

It is not an unprimeable number, because it can be changed into a prime (12036523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 4906.

Almost surely, 212036520 is an apocalyptic number.

12036520 is a gapful number since it is divisible by the number (10) 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 12036520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765860).

12036520 is an abundant number, since it is smaller than the sum of its proper divisors (15495200).

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

12036520 is a wasteful number, since it uses less digits than its factorization.

12036520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 12036520 is about 3469.3688186758. The cubic root of 12036520 is about 229.1748631045.

Adding to 12036520 its reverse (2563021), we get a palindrome (14599541).

The spelling of 12036520 in words is "twelve million, thirty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4933 9866 19732 24665 39464 49330 98660 197320 300913 601826 1203652 1504565 2407304 3009130 6018260 12036520