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117208000 = 2653721323
BaseRepresentation
bin1101111110001…
…11001111000000
322011112210011001
412333013033000
5220001124000
615344101344
72622152200
oct677071700
9264483131
10117208000
1160185118
1233304854
131b38a160
14117d0400
15a45346a
hex6fc73c0

117208000 has 336 divisors, whose sum is σ = 379439424. Its totient is φ = 35481600.

The previous prime is 117207983. The next prime is 117208001. The reversal of 117208000 is 802711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117208001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5095989 + ... + 5096011.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 2117208000 is an apocalyptic number.

117208000 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 117208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

117208000 is an abundant number, since it is smaller than the sum of its proper divisors (262231424).

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

117208000 is a wasteful number, since it uses less digits than its factorization.

117208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 117208000 is about 10826.2643603415. The cubic root of 117208000 is about 489.3869885176.

The spelling of 117208000 in words is "one hundred seventeen million, two hundred eight thousand".