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117073440 = 253251119389
BaseRepresentation
bin1101111101001…
…10011000100000
322011021221120100
412332212120200
5214432322230
615341142400
72621051661
oct676463040
9264257510
10117073440
11600a3010
123325aa00
131b340b33
1411797368
15a428660
hex6fa6620

117073440 has 288 divisors, whose sum is σ = 459950400. Its totient is φ = 26818560.

The previous prime is 117073417. The next prime is 117073499. The reversal of 117073440 is 44370711.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300766 + ... + 301154.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2117073440 is an apocalyptic number.

117073440 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 117073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

117073440 is an abundant number, since it is smaller than the sum of its proper divisors (342876960).

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

117073440 is a wasteful number, since it uses less digits than its factorization.

117073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117073440 is about 10820.0480590430. The cubic root of 117073440 is about 489.1996374563.

The spelling of 117073440 in words is "one hundred seventeen million, seventy-three thousand, four hundred forty".