Search a number
-
+
2640206907 = 3613278591
BaseRepresentation
bin1001110101011110…
…0101110000111011
320211000000102000000
42131113211300323
520401343110112
61113552444043
7122266250142
oct23527456073
96730012000
102640206907
111135367588
12618249623
13330caca10
141b090a759
15106bc37dc
hex9d5e5c3b

2640206907 has 28 divisors (see below), whose sum is σ = 4263014784. Its totient is φ = 1624736880.

The previous prime is 2640206897. The next prime is 2640206911. The reversal of 2640206907 is 7096020462.

It is a happy number.

2640206907 is a `hidden beast` number, since 2 + 640 + 2 + 0 + 6 + 9 + 0 + 7 = 666.

It is not a de Polignac number, because 2640206907 - 28 = 2640206651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2640206927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 129819 + ... + 148772.

It is an arithmetic number, because the mean of its divisors is an integer number (152250528).

Almost surely, 22640206907 is an apocalyptic number.

2640206907 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2640206907 is a deficient number, since it is larger than the sum of its proper divisors (1622807877).

2640206907 is an equidigital number, since it uses as much as digits as its factorization.

2640206907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278622 (or 278607 counting only the distinct ones).

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

The square root of 2640206907 is about 51382.9437362244. The cubic root of 2640206907 is about 1382.1207514969.

The spelling of 2640206907 in words is "two billion, six hundred forty million, two hundred six thousand, nine hundred seven".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477 278591 835773 2507319 3621683 7521957 10865049 22565871 32595147 67697613 97785441 203092839 293356323 880068969 2640206907