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117522720 = 25325789131
BaseRepresentation
bin1110000000101…
…00000100100000
322012010202212100
413000110010200
5220041211340
615354530400
72624632560
oct700240440
9265122770
10117522720
116037a617
1233436a00
131b46a493
1411872da0
15a4b6830
hex7014120

117522720 has 288 divisors, whose sum is σ = 467026560. Its totient is φ = 26357760.

The previous prime is 117522697. The next prime is 117522737. The reversal of 117522720 is 27225711.

117522720 is a `hidden beast` number, since 117 + 522 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897055 + ... + 897185.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2117522720 is an apocalyptic number.

117522720 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 117522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

117522720 is an abundant number, since it is smaller than the sum of its proper divisors (349503840).

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

117522720 is a wasteful number, since it uses less digits than its factorization.

117522720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 117522720 is about 10840.7896391361. The cubic root of 117522720 is about 489.8246213961.

The spelling of 117522720 in words is "one hundred seventeen million, five hundred twenty-two thousand, seven hundred twenty".