Search a number
-
+
36131616 = 2533193171
BaseRepresentation
bin1000100111010…
…1001100100000
32111222200021000
42021311030200
533222202431
63330232000
7616053663
oct211651440
974880230
1036131616
1119439244
1210125600
137640b71
144b276da
15328a9e6
hex2275320

36131616 has 192 divisors, whose sum is σ = 116121600. Its totient is φ = 10886400.

The previous prime is 36131609. The next prime is 36131633. The reversal of 36131616 is 61613163.

It is a happy number.

36131616 is a `hidden beast` number, since 36 + 13 + 1 + 616 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36131616.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508861 + ... + 508931.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 236131616 is an apocalyptic number.

36131616 is a gapful number since it is divisible by the number (36) 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 36131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

36131616 is an abundant number, since it is smaller than the sum of its proper divisors (79989984).

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

36131616 is a wasteful number, since it uses less digits than its factorization.

36131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 36131616 is about 6010.9579935315. The cubic root of 36131616 is about 330.5946303653.

Adding to 36131616 its reverse (61613163), we get a palindrome (97744779).

The spelling of 36131616 in words is "thirty-six million, one hundred thirty-one thousand, six hundred sixteen".