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118198080 = 263257111341
BaseRepresentation
bin1110000101110…
…00111101000000
322020102002021200
413002320331000
5220224314310
615421221200
72633444550
oct702707500
9266362250
10118198080
11607a0a70
1233701800
131b6459c0
14119ab160
15a59b9c0
hex70b8f40

118198080 has 672 divisors, whose sum is σ = 559173888. Its totient is φ = 22118400.

The previous prime is 118198079. The next prime is 118198097. The reversal of 118198080 is 80891811.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1181980802 = 27941572231372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882860 + ... + 2882900.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2118198080 is an apocalyptic number.

118198080 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 118198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).

118198080 is an abundant number, since it is smaller than the sum of its proper divisors (440975808).

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

118198080 is a wasteful number, since it uses less digits than its factorization.

118198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 118198080 is about 10871.8940392187. The cubic root of 118198080 is about 490.7611106534.

The spelling of 118198080 in words is "one hundred eighteen million, one hundred ninety-eight thousand, eighty".