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117107424 = 2533717267
BaseRepresentation
bin1101111101011…
…10101011100000
322011100200012000
412332232223200
5214434414144
615342004000
72621253030
oct676565340
9264320160
10117107424
11601165a5
1233276600
131b353445
14117a58c0
15a433769
hex6faeae0

117107424 has 288 divisors, whose sum is σ = 420860160. Its totient is φ = 31021056.

The previous prime is 117107413. The next prime is 117107477. The reversal of 117107424 is 424701711.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747839 + ... + 1747905.

It is an arithmetic number, because the mean of its divisors is an integer number (1461320).

Almost surely, 2117107424 is an apocalyptic number.

117107424 is a gapful number since it is divisible by the number (14) 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 117107424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210430080).

117107424 is an abundant number, since it is smaller than the sum of its proper divisors (303752736).

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

117107424 is a wasteful number, since it uses less digits than its factorization.

117107424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 117107424 is about 10821.6183632579. The cubic root of 117107424 is about 489.2469677250.

The spelling of 117107424 in words is "one hundred seventeen million, one hundred seven thousand, four hundred twenty-four".