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117054720 = 283451129
BaseRepresentation
bin1101111101000…
…01110100000000
322011020222220000
412332201310000
5214431222340
615340520000
72620643256
oct676416400
9264228800
10117054720
116008aa42
1233250000
131b335463
14117905d6
15a422d30
hex6fa1d00

117054720 has 180 divisors, whose sum is σ = 419214180. Its totient is φ = 31186944.

The previous prime is 117054703. The next prime is 117054727. The reversal of 117054720 is 27450711.

117054720 is a `hidden beast` number, since 117 + 0 + 547 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 93083904 = 4896^2 + 9648^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117054727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103116 + ... + 104244.

Almost surely, 2117054720 is an apocalyptic number.

117054720 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 117054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209607090).

117054720 is an abundant number, since it is smaller than the sum of its proper divisors (302159460).

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

117054720 is an equidigital number, since it uses as much as digits as its factorization.

117054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

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

The square root of 117054720 is about 10819.1829636068. The cubic root of 117054720 is about 489.1735617858.

The spelling of 117054720 in words is "one hundred seventeen million, fifty-four thousand, seven hundred twenty".