Search a number
-
+
36054036 = 22321001501
BaseRepresentation
bin1000100110001…
…0010000010100
32111211201211200
42021202100110
533212212121
63324432500
7615311544
oct211422024
974751750
1036054036
1119395a27
12100a8730
137614765
144b07324
153272a26
hex2262414

36054036 has 18 divisors (see below), whose sum is σ = 91136682. Its totient is φ = 12018000.

The previous prime is 36053993. The next prime is 36054049. The reversal of 36054036 is 63045063.

It can be written as a sum of positive squares in only one way, i.e., 24561936 + 11492100 = 4956^2 + 3390^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500715 + ... + 500786.

It is an arithmetic number, because the mean of its divisors is an integer number (5063149).

Almost surely, 236054036 is an apocalyptic number.

36054036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36054036 is an abundant number, since it is smaller than the sum of its proper divisors (55082646).

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

36054036 is a wasteful number, since it uses less digits than its factorization.

36054036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001511 (or 1001506 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36054036 is about 6004.5013115162. The cubic root of 36054036 is about 330.3578487267.

Adding to 36054036 its reverse (63045063), we get a palindrome (99099099).

The spelling of 36054036 in words is "thirty-six million, fifty-four thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 36 1001501 2003002 3004503 4006004 6009006 9013509 12018012 18027018 36054036