Search a number
-
+
116506060 = 225112311553
BaseRepresentation
bin1101111000110…
…11110111001100
322010020010021021
412330123313030
5214311143220
615321043524
72613166546
oct674336714
9263203237
10116506060
115a845800
12330265a4
131b1a27c8
141168a696
15a3654aa
hex6f1bdcc

116506060 has 72 divisors (see below), whose sum is σ = 277780608. Its totient is φ = 40972800.

The previous prime is 116506037. The next prime is 116506069. The reversal of 116506060 is 60605611.

It is not an unprimeable number, because it can be changed into a prime (116506069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74244 + ... + 75796.

It is an arithmetic number, because the mean of its divisors is an integer number (3858064).

Almost surely, 2116506060 is an apocalyptic number.

116506060 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 116506060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138890304).

116506060 is an abundant number, since it is smaller than the sum of its proper divisors (161274548).

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

116506060 is a wasteful number, since it uses less digits than its factorization.

116506060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 116506060 is about 10793.7972928900. The cubic root of 116506060 is about 488.4080782150.

The spelling of 116506060 in words is "one hundred sixteen million, five hundred six thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1553 1705 2420 3106 3410 3751 6212 6820 7502 7765 15004 15530 17083 18755 31060 34166 37510 48143 68332 75020 85415 96286 170830 187913 192572 240715 341660 375826 481430 529573 751652 939565 962860 1059146 1879130 2118292 2647865 3758260 5295730 5825303 10591460 11650606 23301212 29126515 58253030 116506060