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118080000 = 29325441
BaseRepresentation
bin1110000100111…
…00001000000000
322020012002022100
413002130020000
5220212030000
615414510400
72632443363
oct702341000
9266162270
10118080000
1160720285
1233665400
131b60402c
141197a0da
15a576a00
hex709c200

118080000 has 300 divisors, whose sum is σ = 436233798. Its totient is φ = 30720000.

The previous prime is 118079993. The next prime is 118080019. The reversal of 118080000 is 80811.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 3504384 + 114575616 = 1872^2 + 10704^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 820 × 180 × 800.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879980 + ... + 2880020.

Almost surely, 2118080000 is an apocalyptic number.

118080000 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 118080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218116899).

118080000 is an abundant number, since it is smaller than the sum of its proper divisors (318153798).

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

118080000 is an frugal number, since it uses more digits than its factorization.

118080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 118080000 is about 10866.4621657649. The cubic root of 118080000 is about 490.5976325898.

The spelling of 118080000 in words is "one hundred eighteen million, eighty thousand".