Search a number
-
+
116746728 = 2337787883
BaseRepresentation
bin1101111010101…
…10100111101000
322010200100101220
412331112213220
5214341343403
615330142040
72615221320
oct675264750
9263610356
10116746728
115a99a5aa
1233121920
131b258207
1411710280
15a3b1953
hex6f569e8

116746728 has 64 divisors (see below), whose sum is σ = 334364160. Its totient is φ = 33276096.

The previous prime is 116746727. The next prime is 116746771. The reversal of 116746728 is 827647611.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 116746728.

It is not an unprimeable number, because it can be changed into a prime (116746723) 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, 131775 + ... + 132657.

It is an arithmetic number, because the mean of its divisors is an integer number (5224440).

Almost surely, 2116746728 is an apocalyptic number.

It is an amenable number.

116746728 is an abundant number, since it is smaller than the sum of its proper divisors (217617432).

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

116746728 is a wasteful number, since it uses less digits than its factorization.

116746728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 116746728 is about 10804.9399813234. The cubic root of 116746728 is about 488.7441504348.

It can be divided in two parts, 1167 and 46728, that added together give a triangular number (47895 = T309).

The spelling of 116746728 in words is "one hundred sixteen million, seven hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 787 883 1574 1766 2361 2649 3148 3532 4722 5298 5509 6181 6296 7064 9444 10596 11018 12362 16527 18543 18888 21192 22036 24724 33054 37086 44072 49448 66108 74172 132216 148344 694921 1389842 2084763 2779684 4169526 4864447 5559368 8339052 9728894 14593341 16678104 19457788 29186682 38915576 58373364 116746728