Search a number
-
+
118124136 = 233313233159
BaseRepresentation
bin1110000101001…
…10111001101000
322020021022212000
413002212321220
5220214433021
615415451000
72633016144
oct702467150
9266238760
10118124136
1160750459
1233686a60
131b61b150
141198c224
15a584b26
hex70a6e68

118124136 has 256 divisors, whose sum is σ = 387072000. Its totient is φ = 33073920.

The previous prime is 118124117. The next prime is 118124137. The reversal of 118124136 is 631421811.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (118124137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002075 + ... + 2002133.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2118124136 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 118124136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

118124136 is an abundant number, since it is smaller than the sum of its proper divisors (268947864).

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

118124136 is a wasteful number, since it uses less digits than its factorization.

118124136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 118124136 is about 10868.4928117932. The cubic root of 118124136 is about 490.6587502497.

Adding to 118124136 its reverse (631421811), we get a palindrome (749545947).

The spelling of 118124136 in words is "one hundred eighteen million, one hundred twenty-four thousand, one hundred thirty-six".