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118272000 = 212353711
BaseRepresentation
bin1110000110010…
…11000000000000
322020112211200110
413003023000000
5220234201000
615422551320
72634203220
oct703130000
9266484613
10118272000
1160841560
1233738540
131b670542
14119ca080
15a5b3850
hex70cb000

118272000 has 416 divisors, whose sum is σ = 490673664. Its totient is φ = 24576000.

The previous prime is 118271987. The next prime is 118272001. The reversal of 118272000 is 272811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118272001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10751995 + ... + 10752005.

It is an arithmetic number, because the mean of its divisors is an integer number (1179504).

Almost surely, 2118272000 is an apocalyptic number.

118272000 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 118272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245336832).

118272000 is an abundant number, since it is smaller than the sum of its proper divisors (372401664).

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

118272000 is an equidigital number, since it uses as much as digits as its factorization.

118272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 118272000 is about 10875.2930994985. The cubic root of 118272000 is about 490.8633951730.

The spelling of 118272000 in words is "one hundred eighteen million, two hundred seventy-two thousand".