Search a number
-
+
36036520 = 23513371873
BaseRepresentation
bin1000100101110…
…1111110101000
32111210211210221
42021131332220
533211132040
63324215424
7615206512
oct211357650
974724727
1036036520
1119383853
121009a574
1376097b0
144b00bb2
15326c74a
hex225dfa8

36036520 has 64 divisors (see below), whose sum is σ = 89727120. Its totient is φ = 12939264.

The previous prime is 36036509. The next prime is 36036527. The reversal of 36036520 is 2563063.

It can be written as a sum of positive squares in 8 ways, for example, as 6421156 + 29615364 = 2534^2 + 5442^2 .

It is not an unprimeable number, because it can be changed into a prime (36036527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18304 + ... + 20176.

Almost surely, 236036520 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 36036520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44863560).

36036520 is an abundant number, since it is smaller than the sum of its proper divisors (53690600).

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

36036520 is a wasteful number, since it uses less digits than its factorization.

36036520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 36036520 is about 6003.0425619014. The cubic root of 36036520 is about 330.3043412136.

Adding to 36036520 its reverse (2563063), we get a palindrome (38599583).

The spelling of 36036520 in words is "thirty-six million, thirty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1873 1924 2405 3746 3848 4810 7492 9365 9620 14984 18730 19240 24349 37460 48698 69301 74920 97396 121745 138602 194792 243490 277204 346505 486980 554408 693010 900913 973960 1386020 1801826 2772040 3603652 4504565 7207304 9009130 18018260 36036520