Search a number
-
+
36126108 = 22331672003
BaseRepresentation
bin1000100111001…
…1110110011100
32111222101201000
42021303312130
533222013413
63330150300
7616031634
oct211636634
974871630
1036126108
1119435097
1210122390
13763b4c5
144b256c4
153289073
hex2273d9c

36126108 has 48 divisors (see below), whose sum is σ = 94268160. Its totient is φ = 11963952.

The previous prime is 36126107. The next prime is 36126109. The reversal of 36126108 is 80162163.

36126108 is a `hidden beast` number, since 36 + 12 + 610 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (36126107) and next prime (36126109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36126107) 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, 17035 + ... + 19037.

It is an arithmetic number, because the mean of its divisors is an integer number (1963920).

Almost surely, 236126108 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 36126108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47134080).

36126108 is an abundant number, since it is smaller than the sum of its proper divisors (58142052).

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

36126108 is a wasteful number, since it uses less digits than its factorization.

36126108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36126108 is about 6010.4998128275. The cubic root of 36126108 is about 330.5778306022.

The spelling of 36126108 in words is "thirty-six million, one hundred twenty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1002 1503 2003 2004 3006 4006 4509 6009 6012 8012 9018 12018 18027 18036 24036 36054 54081 72108 108162 216324 334501 669002 1003503 1338004 2007006 3010509 4014012 6021018 9031527 12042036 18063054 36126108