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117059712 = 27371137107
BaseRepresentation
bin1101111101000…
…11000010000000
322011021020201220
412332203002000
5214431402322
615340555040
72620663650
oct676430200
9264236656
10117059712
1160093770
1233252a80
131b337803
1411792360
15a42455c
hex6fa3080

117059712 has 256 divisors, whose sum is σ = 401863680. Its totient is φ = 29306880.

The previous prime is 117059699. The next prime is 117059713. The reversal of 117059712 is 217950711.

It is a super-3 number, since 3×1170597123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (117059713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093963 + ... + 1094069.

It is an arithmetic number, because the mean of its divisors is an integer number (1569780).

Almost surely, 2117059712 is an apocalyptic number.

117059712 is a gapful number since it is divisible by the number (12) 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 117059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200931840).

117059712 is an abundant number, since it is smaller than the sum of its proper divisors (284803968).

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

117059712 is a wasteful number, since it uses less digits than its factorization.

117059712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 117059712 is about 10819.4136624865. The cubic root of 117059712 is about 489.1805155697.

The spelling of 117059712 in words is "one hundred seventeen million, fifty-nine thousand, seven hundred twelve".