Search a number
-
+
116684328 = 23317216823
BaseRepresentation
bin1101111010001…
…11011000101000
322010120011210210
412331013120220
5214332344303
615324541120
72614541355
oct675073050
9263504723
10116684328
115a957732
12330b17a0
131b2359a7
14116d562c
15a39d203
hex6f47628

116684328 has 48 divisors (see below), whose sum is σ = 309898080. Its totient is φ = 36604672.

The previous prime is 116684317. The next prime is 116684329. The reversal of 116684328 is 823486611.

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

It is not an unprimeable number, because it can be changed into a prime (116684329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1476 + ... + 15347.

It is an arithmetic number, because the mean of its divisors is an integer number (6456210).

Almost surely, 2116684328 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 116684328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949040).

116684328 is an abundant number, since it is smaller than the sum of its proper divisors (193213752).

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

116684328 is a wasteful number, since it uses less digits than its factorization.

116684328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16866 (or 16845 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 116684328 is about 10802.0520272770. The cubic root of 116684328 is about 488.6570585717.

The spelling of 116684328 in words is "one hundred sixteen million, six hundred eighty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 16823 33646 50469 67292 100938 134584 201876 285991 403752 571982 857973 1143964 1715946 2287928 3431892 4861847 6863784 9723694 14585541 19447388 29171082 38894776 58342164 116684328