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118140000 = 2535411179
BaseRepresentation
bin1110000101010…
…10110001100000
322020022010121120
413002222301200
5220220440000
615420052240
72633113326
oct702526140
9266263546
10118140000
1160761370
1233694080
131b625434
1411993d16
15a5896a0
hex70aac60

118140000 has 240 divisors, whose sum is σ = 425113920. Its totient is φ = 28480000.

The previous prime is 118139993. The next prime is 118140013. The reversal of 118140000 is 41811.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659911 + ... + 660089.

It is an arithmetic number, because the mean of its divisors is an integer number (1771308).

Almost surely, 2118140000 is an apocalyptic number.

118140000 is a gapful number since it is divisible by the number (10) 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 118140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212556960).

118140000 is an abundant number, since it is smaller than the sum of its proper divisors (306973920).

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

118140000 is a wasteful number, since it uses less digits than its factorization.

118140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 118140000 is about 10869.2226032960. Note that the first 3 decimals coincide. The cubic root of 118140000 is about 490.6807143242.

Adding to 118140000 its reverse (41811), we get a palindrome (118181811).

The spelling of 118140000 in words is "one hundred eighteen million, one hundred forty thousand".