Search a number
-
+
117965168 = 2431435531
BaseRepresentation
bin1110000100000…
…00000101110000
322012222020210022
413002000011300
5220144341133
615412223012
72631454526
oct702000560
9265866708
10117965168
1160651a82
123360aa68
131b593999
141194a316
15a552998
hex7080170

117965168 has 40 divisors (see below), whose sum is σ = 241460736. Its totient is φ = 55742400.

The previous prime is 117965147. The next prime is 117965173. The reversal of 117965168 is 861569711.

It is a super-2 number, since 2×1179651682 = 27831561722536448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18563 + ... + 24093.

Almost surely, 2117965168 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 117965168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120730368).

117965168 is an abundant number, since it is smaller than the sum of its proper divisors (123495568).

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

117965168 is a wasteful number, since it uses less digits than its factorization.

117965168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5607 counting only the distinct ones).

The product of its digits is 90720, while the sum is 44.

The square root of 117965168 is about 10861.1771001121. The cubic root of 117965168 is about 490.4385467174.

The spelling of 117965168 in words is "one hundred seventeen million, nine hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 1333 2666 5332 5531 10664 11062 21328 22124 44248 88496 171461 237833 342922 475666 685844 951332 1371688 1902664 2743376 3805328 7372823 14745646 29491292 58982584 117965168