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118213920 = 253251117439
BaseRepresentation
bin1110000101111…
…00110100100000
322020102220000100
413002330310200
5220230321140
615421422400
72633541666
oct702746440
9266386010
10118213920
1160801960
123370aa00
131b64cc86
14119b2c36
15a5a1530
hex70bcd20

118213920 has 288 divisors, whose sum is σ = 467026560. Its totient is φ = 26910720.

The previous prime is 118213897. The next prime is 118213939. The reversal of 118213920 is 29312811.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269061 + ... + 269499.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2118213920 is an apocalyptic number.

118213920 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 118213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

118213920 is an abundant number, since it is smaller than the sum of its proper divisors (348812640).

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

118213920 is a wasteful number, since it uses less digits than its factorization.

118213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 118213920 is about 10872.6224987351. The cubic root of 118213920 is about 490.7830323540.

The spelling of 118213920 in words is "one hundred eighteen million, two hundred thirteen thousand, nine hundred twenty".