Search a number
-
+
116040880 = 24537197199
BaseRepresentation
bin1101110101010…
…10010010110000
322002100111011101
412322222102300
5214201302010
615303054144
72606221414
oct672522260
9262314141
10116040880
115a55825a
1232a41354
131b06bb57
14115a8d44
15a2c273a
hex6eaa4b0

116040880 has 80 divisors (see below), whose sum is σ = 279892800. Its totient is φ = 44706816.

The previous prime is 116040877. The next prime is 116040887. The reversal of 116040880 is 88040611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116040887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583021 + ... + 583219.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2116040880 is an apocalyptic number.

116040880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116040880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946400).

116040880 is an abundant number, since it is smaller than the sum of its proper divisors (163851920).

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

116040880 is a wasteful number, since it uses less digits than its factorization.

116040880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 116040880 is about 10772.2272534513. The cubic root of 116040880 is about 487.7571801021.

The spelling of 116040880 in words is "one hundred sixteen million, forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 197 199 296 370 394 398 592 740 788 796 985 995 1480 1576 1592 1970 1990 2960 3152 3184 3940 3980 7289 7363 7880 7960 14578 14726 15760 15920 29156 29452 36445 36815 39203 58312 58904 72890 73630 78406 116624 117808 145780 147260 156812 196015 291560 294520 313624 392030 583120 589040 627248 784060 1450511 1568120 2901022 3136240 5802044 7252555 11604088 14505110 23208176 29010220 58020440 116040880