Search a number
-
+
116301504 = 26311531039
BaseRepresentation
bin1101110111010…
…01111011000000
322002211201200010
412323221323000
5214233122004
615312424520
72611355304
oct673517300
9262751603
10116301504
115a716050
1232b48140
131b130677
1411635d04
15a324a89
hex6ee9ec0

116301504 has 112 divisors (see below), whose sum is σ = 342351360. Its totient is φ = 34544640.

The previous prime is 116301487. The next prime is 116301529. The reversal of 116301504 is 405103611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111417 + ... + 112455.

Almost surely, 2116301504 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 116301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

116301504 is an abundant number, since it is smaller than the sum of its proper divisors (226049856).

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

116301504 is a wasteful number, since it uses less digits than its factorization.

116301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 116301504 is about 10784.3175027444. The cubic root of 116301504 is about 488.1220692568.

The spelling of 116301504 in words is "one hundred sixteen million, three hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 192 212 264 318 352 424 528 583 636 704 848 1039 1056 1166 1272 1696 1749 2078 2112 2332 2544 3117 3392 3498 4156 4664 5088 6234 6996 8312 9328 10176 11429 12468 13992 16624 18656 22858 24936 27984 33248 34287 37312 45716 49872 55067 55968 66496 68574 91432 99744 110134 111936 137148 165201 182864 199488 220268 274296 330402 365728 440536 548592 605737 660804 731456 881072 1097184 1211474 1321608 1762144 1817211 2194368 2422948 2643216 3524288 3634422 4845896 5286432 7268844 9691792 10572864 14537688 19383584 29075376 38767168 58150752 116301504