Search a number
-
+
986111106 = 231232313337
BaseRepresentation
bin111010110001101…
…101110010000010
32112201112122010120
4322301231302002
54004421023411
6241503441110
733302543331
oct7261556202
92481478116
10986111106
114666a7962
122362b6196
131293b64c6
1494d73d18
155b88b106
hex3ac6dc82

986111106 has 16 divisors (see below), whose sum is σ = 1972530144. Its totient is φ = 328652384.

The previous prime is 986111081. The next prime is 986111107. The reversal of 986111106 is 601111689.

986111106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9861111062 = 1944830226753086472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (986111107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67270 + ... + 80606.

It is an arithmetic number, because the mean of its divisors is an integer number (123283134).

Almost surely, 2986111106 is an apocalyptic number.

986111106 is an abundant number, since it is smaller than the sum of its proper divisors (986419038).

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

986111106 is a wasteful number, since it uses less digits than its factorization.

986111106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25665.

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 986111106 is about 31402.4060543137. The cubic root of 986111106 is about 995.3487682514.

The spelling of 986111106 in words is "nine hundred eighty-six million, one hundred eleven thousand, one hundred six".

Divisors: 1 2 3 6 12323 13337 24646 26674 36969 40011 73938 80022 164351851 328703702 493055553 986111106