Search a number
-
+
2106472329 = 3213171059061
BaseRepresentation
bin111110110001110…
…0011011110001001
312102210200212210200
41331203203132021
513303224103304
6545005002413
7103125501513
oct17543433611
95383625720
102106472329
11991059925
124a9553409
13277545b40
1415da92bb3
15c4de4e39
hex7d8e3789

2106472329 has 24 divisors (see below), whose sum is σ = 3469487112. Its totient is φ = 1220037120.

The previous prime is 2106472321. The next prime is 2106472331. The reversal of 2106472329 is 9232746012.

2106472329 is a `hidden beast` number, since 2 + 1 + 0 + 647 + 2 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417262329 + 1689210000 = 20427^2 + 41100^2 .

It is not a de Polignac number, because 2106472329 - 23 = 2106472321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2106472293 and 2106472302.

It is not an unprimeable number, because it can be changed into a prime (2106472321) 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, 527542 + ... + 531519.

It is an arithmetic number, because the mean of its divisors is an integer number (144561963).

Almost surely, 22106472329 is an apocalyptic number.

It is an amenable number.

2106472329 is a deficient number, since it is larger than the sum of its proper divisors (1363014783).

2106472329 is a wasteful number, since it uses less digits than its factorization.

2106472329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059097 (or 1059094 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2106472329 is about 45896.3215192678. The cubic root of 2106472329 is about 1281.8934235858.

The spelling of 2106472329 in words is "two billion, one hundred six million, four hundred seventy-two thousand, three hundred twenty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 1059061 3177183 9531549 13767793 18004037 41303379 54012111 123910137 162036333 234052481 702157443 2106472329