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117148752 = 243272331163
BaseRepresentation
bin1101111101110…
…00110001010000
322011102202212200
412332320301100
5214442230002
615342523200
72621514360
oct676706120
9264382780
10117148752
1160144656
1233296500
131b3691b6
14117b69a0
15a440b1c
hex6fb8c50

117148752 has 240 divisors, whose sum is σ = 406069248. Its totient is φ = 30792960.

The previous prime is 117148747. The next prime is 117148753. The reversal of 117148752 is 257841711.

117148752 is a `hidden beast` number, since 1 + 171 + 487 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117148753) 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, 718623 + ... + 718785.

Almost surely, 2117148752 is an apocalyptic number.

117148752 is a gapful number since it is divisible by the number (12) 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 117148752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203034624).

117148752 is an abundant number, since it is smaller than the sum of its proper divisors (288920496).

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

117148752 is a wasteful number, since it uses less digits than its factorization.

117148752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 117148752 is about 10823.5277058822. The cubic root of 117148752 is about 489.3045138080.

The spelling of 117148752 in words is "one hundred seventeen million, one hundred forty-eight thousand, seven hundred fifty-two".