Search a number
-
+
36000016 = 24131710181
BaseRepresentation
bin1000100101010…
…1000100010000
32111201222201221
42021111010100
533204000031
63323334424
7614665213
oct211250420
974658657
1036000016
1119359388
1210081414
1375c5cb0
144ad177a
153261a11
hex2255110

36000016 has 40 divisors (see below), whose sum is σ = 79541784. Its totient is φ = 15636480.

The previous prime is 36000007. The next prime is 36000059. The reversal of 36000016 is 61000063.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 30691600 = 2304^2 + 5540^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555 + ... + 8626.

Almost surely, 236000016 is an apocalyptic number.

It is an amenable number.

36000016 is an abundant number, since it is smaller than the sum of its proper divisors (43541768).

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

36000016 is a wasteful number, since it uses less digits than its factorization.

36000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10219 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 36000016 is about 6000.0013333332. The cubic root of 36000016 is about 330.1927738069.

Subtracting from 36000016 its sum of digits (16), we obtain a square (36000000 = 60002).

Adding to 36000016 its reverse (61000063), we get a palindrome (97000079).

It can be divided in two parts, 360000 and 16, that multiplied together give a square (5760000 = 24002).

The spelling of 36000016 in words is "thirty-six million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 10181 20362 40724 81448 132353 162896 173077 264706 346154 529412 692308 1058824 1384616 2117648 2250001 2769232 4500002 9000004 18000008 36000016