Search a number
-
+
36533106 = 23625057
BaseRepresentation
bin1000101101011…
…1001101110010
32112202002000000
42023113031302
533323024411
63343010430
7622345341
oct213271562
975662000
1036533106
1119692955
1210299a16
13775182c
144bcdb58
153319956
hex22d7372

36533106 has 28 divisors (see below), whose sum is σ = 82165182. Its totient is φ = 12177216.

The previous prime is 36533099. The next prime is 36533113. The reversal of 36533106 is 60133563.

36533106 is a `hidden beast` number, since 3 + 653 + 3 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36533099) and next prime (36533113).

It can be written as a sum of positive squares in only one way, i.e., 34327881 + 2205225 = 5859^2 + 1485^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 36533106.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11071 + ... + 13986.

Almost surely, 236533106 is an apocalyptic number.

36533106 is an abundant number, since it is smaller than the sum of its proper divisors (45632076).

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

36533106 is an equidigital number, since it uses as much as digits as its factorization.

36533106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25077 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 36533106 is about 6044.2622378583. The cubic root of 36533106 is about 331.8146313637.

Adding to 36533106 its reverse (60133563), we get a palindrome (96666669).

The spelling of 36533106 in words is "thirty-six million, five hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 25057 50114 75171 150342 225513 451026 676539 1353078 2029617 4059234 6088851 12177702 18266553 36533106