Search a number
-
+
2972911160 = 23531277339
BaseRepresentation
bin1011000100110011…
…0000011000111000
321200012001112102202
42301030300120320
522042031124120
61210555445332
7133446220322
oct26114603070
97605045382
102972911160
11129614917a
126ab756848
13384bbb63b
14202b94612
15125ee2875
hexb1330638

2972911160 has 48 divisors (see below), whose sum is σ = 6911875800. Its totient is φ = 1150789440.

The previous prime is 2972911157. The next prime is 2972911169. The reversal of 2972911160 is 611192792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972911169) 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 11 ways as a sum of consecutive naturals, for example, 230 + ... + 77109.

Almost surely, 22972911160 is an apocalyptic number.

2972911160 is a gapful number since it is divisible by the number (20) 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 2972911160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455937900).

2972911160 is an abundant number, since it is smaller than the sum of its proper divisors (3938964640).

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

2972911160 is a wasteful number, since it uses less digits than its factorization.

2972911160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77412 (or 77377 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 2972911160 is about 54524.4088459472. The cubic root of 2972911160 is about 1437.8954532433.

The spelling of 2972911160 in words is "two billion, nine hundred seventy-two million, nine hundred eleven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3844 4805 7688 9610 19220 38440 77339 154678 309356 386695 618712 773390 1546780 2397509 3093560 4795018 9590036 11987545 19180072 23975090 47950180 74322779 95900360 148645558 297291116 371613895 594582232 743227790 1486455580 2972911160