Search a number
-
+
2129680072 = 231320477693
BaseRepresentation
bin111111011110000…
…0101011011001000
312111102100221211201
41332330011123020
513330144230242
6551154233544
7103526660542
oct17674053310
95442327751
102129680072
119a3170183
124b52858b4
1327c2b0330
14162bb4692
15c6e7b4b7
hex7ef056c8

2129680072 has 16 divisors (see below), whose sum is σ = 4300315740. Its totient is φ = 982929216.

The previous prime is 2129680061. The next prime is 2129680073. The reversal of 2129680072 is 2700869212.

It can be written as a sum of positive squares in 2 ways, for example, as 2071524196 + 58155876 = 45514^2 + 7626^2 .

It is not an unprimeable number, because it can be changed into a prime (2129680073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10238743 + ... + 10238950.

Almost surely, 22129680072 is an apocalyptic number.

It is an amenable number.

2129680072 is an abundant number, since it is smaller than the sum of its proper divisors (2170635668).

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

2129680072 is a wasteful number, since it uses less digits than its factorization.

2129680072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20477712 (or 20477708 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 2129680072 is about 46148.4568756096. The cubic root of 2129680072 is about 1286.5839294014.

The spelling of 2129680072 in words is "two billion, one hundred twenty-nine million, six hundred eighty thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 20477693 40955386 81910772 163821544 266210009 532420018 1064840036 2129680072