Search a number
-
+
116293008 = 24313227821
BaseRepresentation
bin1101110111001…
…11110110010000
322002211022000110
412323213312100
5214232334013
615312321320
72611321446
oct673476620
9262738013
10116293008
115a70a727
1232b43240
131b129840
1411632b96
15a3222c3
hex6ee7d90

116293008 has 80 divisors (see below), whose sum is σ = 325354176. Its totient is φ = 35581440.

The previous prime is 116293003. The next prime is 116293019. The reversal of 116293008 is 800392611.

It is not an unprimeable number, because it can be changed into a prime (116293003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141238 + ... + 142058.

Almost surely, 2116293008 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 116293008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162677088).

116293008 is an abundant number, since it is smaller than the sum of its proper divisors (209061168).

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

116293008 is a wasteful number, since it uses less digits than its factorization.

116293008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 116293008 is about 10783.9235902338. The cubic root of 116293008 is about 488.1101829499.

The spelling of 116293008 in words is "one hundred sixteen million, two hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 227 312 454 624 681 821 908 1362 1642 1816 2463 2724 2951 3284 3632 4926 5448 5902 6568 8853 9852 10673 10896 11804 13136 17706 19704 21346 23608 32019 35412 39408 42692 47216 64038 70824 85384 128076 141648 170768 186367 256152 372734 512304 559101 745468 1118202 1490936 2236404 2422771 2981872 4472808 4845542 7268313 8945616 9691084 14536626 19382168 29073252 38764336 58146504 116293008