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117262080 = 283551329
BaseRepresentation
bin1101111110101…
…00011100000000
322011122112100000
412333110130000
5220004341310
615345200000
72622465645
oct677243400
9264575300
10117262080
1160211811
1233330000
131b3a8960
1411805dcc
15a4644c0
hex6fd4700

117262080 has 432 divisors, whose sum is σ = 468730080. Its totient is φ = 27869184.

The previous prime is 117262063. The next prime is 117262099. The reversal of 117262080 is 80262711.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

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, 4043506 + ... + 4043534.

Almost surely, 2117262080 is an apocalyptic number.

117262080 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 117262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040).

117262080 is an abundant number, since it is smaller than the sum of its proper divisors (351468000).

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

117262080 is an equidigital number, since it uses as much as digits as its factorization.

117262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117262080 is about 10828.7617020599. The cubic root of 117262080 is about 489.4622449816.

The spelling of 117262080 in words is "one hundred seventeen million, two hundred sixty-two thousand, eighty".