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117017984 = 271396577
BaseRepresentation
bin1101111100110…
…00110110000000
322011012010111102
412332120312000
5214424033414
615340033532
72620431206
oct676306600
9264163442
10117017984
1160065386
12332328a8
131b321815
1411781076
15a416ede
hex6f98d80

117017984 has 32 divisors (see below), whose sum is σ = 234834600. Its totient is φ = 58079232.

The previous prime is 117017911. The next prime is 117018029. The reversal of 117017984 is 489710711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 14504 + ... + 21080.

Almost surely, 2117017984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117417300).

117017984 is an abundant number, since it is smaller than the sum of its proper divisors (117816616).

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

117017984 is an equidigital number, since it uses as much as digits as its factorization.

117017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 38.

The square root of 117017984 is about 10817.4851051434. The cubic root of 117017984 is about 489.1223829861.

The spelling of 117017984 in words is "one hundred seventeen million, seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 6577 8896 13154 17792 26308 52616 105232 210464 420928 841856 914203 1828406 3656812 7313624 14627248 29254496 58508992 117017984