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117440064 = 2633721973
BaseRepresentation
bin1101111111111…
…11111001000000
322011222120111000
412333333321000
5220031040224
615353052000
72624136600
oct677777100
9264876430
10117440064
1160323505
12333b7000
131b43b981
1411850c00
15a49c0c9
hex6fffe40

117440064 has 336 divisors, whose sum is σ = 428548800. Its totient is φ = 31352832.

The previous prime is 117440041. The next prime is 117440069. The reversal of 117440064 is 460044711.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (117440069) 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, 1608732 + ... + 1608804.

Almost surely, 2117440064 is an apocalyptic number.

117440064 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 117440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214274400).

117440064 is an abundant number, since it is smaller than the sum of its proper divisors (311108736).

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

117440064 is a wasteful number, since it uses less digits than its factorization.

117440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 117440064 is about 10836.9767001687. The cubic root of 117440064 is about 489.7097600900.

Adding to 117440064 its reverse (460044711), we get a palindrome (577484775).

The spelling of 117440064 in words is "one hundred seventeen million, four hundred forty thousand, sixty-four".