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116333316 = 2232112631117
BaseRepresentation
bin1101110111100…
…01101100000100
322002220100022100
412323301230010
5214240131231
615313232100
72611550121
oct673615404
9262810270
10116333316
115a737a40
1232b62630
131b141ca8
1411643748
15a32e1e6
hex6ef1b04

116333316 has 72 divisors (see below), whose sum is σ = 322305984. Its totient is φ = 35087040.

The previous prime is 116333299. The next prime is 116333317. The reversal of 116333316 is 613333611.

116333316 is a `hidden beast` number, since 1 + 16 + 333 + 316 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116333316.

It is not an unprimeable number, because it can be changed into a prime (116333317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103590 + ... + 104706.

It is an arithmetic number, because the mean of its divisors is an integer number (4476472).

Almost surely, 2116333316 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 116333316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161152992).

116333316 is an abundant number, since it is smaller than the sum of its proper divisors (205972668).

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

116333316 is a wasteful number, since it uses less digits than its factorization.

116333316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1396 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 116333316 is about 10785.7923213828. The cubic root of 116333316 is about 488.1665706121.

Adding to 116333316 its reverse (613333611), we get a palindrome (729666927).

The spelling of 116333316 in words is "one hundred sixteen million, three hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 526 789 1052 1117 1578 2234 2367 2893 3156 3351 4468 4734 5786 6702 8679 9468 10053 11572 12287 13404 17358 20106 24574 26037 34716 36861 40212 49148 52074 73722 104148 110583 147444 221166 293771 442332 587542 881313 1175084 1762626 2643939 3231481 3525252 5287878 6462962 9694443 10575756 12925924 19388886 29083329 38777772 58166658 116333316