Search a number
-
+
116015120 = 2451328581
BaseRepresentation
bin1101110101001…
…00000000010000
322002022011211022
412322210000100
5214144440440
615302335012
72606053334
oct672440020
9262264738
10116015120
115a53a971
1232a2a468
131b060200
141159d7c4
15a2b9cb5
hex6ea4010

116015120 has 60 divisors (see below), whose sum is σ = 292114116. Its totient is φ = 42831360.

The previous prime is 116015101. The next prime is 116015143. The reversal of 116015120 is 21510611.

It can be written as a sum of positive squares in 6 ways, for example, as 65092624 + 50922496 = 8068^2 + 7136^2 .

It is a super-2 number, since 2×1160151202 = 26919016137228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9230 + ... + 17810.

Almost surely, 2116015120 is an apocalyptic number.

116015120 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 116015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146057058).

116015120 is an abundant number, since it is smaller than the sum of its proper divisors (176098996).

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

116015120 is a wasteful number, since it uses less digits than its factorization.

116015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 116015120 is about 10771.0315197756. The cubic root of 116015120 is about 487.7210849064.

Adding to 116015120 its reverse (21510611), we get a palindrome (137525731).

The spelling of 116015120 in words is "one hundred sixteen million, fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 8581 13520 17162 34324 42905 68648 85810 111553 137296 171620 223106 343240 446212 557765 686480 892424 1115530 1450189 1784848 2231060 2900378 4462120 5800756 7250945 8924240 11601512 14501890 23203024 29003780 58007560 116015120