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3106060164 = 22323713717021
BaseRepresentation
bin1011100100100010…
…1011011110000100
322000110121012112100
42321020223132010
522330122411124
61232113352100
7136654034664
oct27110533604
98013535470
103106060164
111354320a79
12728268630
133a666a52c
142167341a4
15132a441c9
hexb922b784

3106060164 has 72 divisors (see below), whose sum is σ = 8122966488. Its totient is φ = 999959040.

The previous prime is 3106060163. The next prime is 3106060213. The reversal of 3106060164 is 4610606013.

It can be written as a sum of positive squares in 4 ways, for example, as 2120602500 + 985457664 = 46050^2 + 31392^2 .

It is not an unprimeable number, because it can be changed into a prime (3106060163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173974 + ... + 190994.

It is an arithmetic number, because the mean of its divisors is an integer number (112818979).

Almost surely, 23106060164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106060164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061483244).

3106060164 is an abundant number, since it is smaller than the sum of its proper divisors (5016906324).

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

3106060164 is a wasteful number, since it uses less digits than its factorization.

3106060164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205 (or 17200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3106060164 is about 55732.0389363246. The cubic root of 3106060164 is about 1459.0492596713.

Adding to 3106060164 its reverse (4610606013), we get a palindrome (7716666177).

The spelling of 3106060164 in words is "three billion, one hundred six million, sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 137 148 222 274 333 411 444 548 666 822 1233 1332 1644 2466 4932 5069 10138 15207 17021 20276 30414 34042 45621 51063 60828 68084 91242 102126 153189 182484 204252 306378 612756 629777 1259554 1889331 2331877 2519108 3778662 4663754 5667993 6995631 7557324 9327508 11335986 13991262 20986893 22671972 27982524 41973786 83947572 86279449 172558898 258838347 345117796 517676694 776515041 1035353388 1553030082 3106060164