Search a number
-
+
1027237813 = 7220964037
BaseRepresentation
bin111101001110100…
…110011110110101
32122120221002100221
4331032212132311
54100433102223
6245533134341
734312243300
oct7516463665
92576832327
101027237813
11487937a78
1224802a3b1
13134a85b34
149a5dbb37
15602b1b5d
hex3d3a67b5

1027237813 has 6 divisors (see below), whose sum is σ = 1194950166. Its totient is φ = 880489512.

The previous prime is 1027237777. The next prime is 1027237819. The reversal of 1027237813 is 3187327201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 590344209 + 436893604 = 24297^2 + 20902^2 .

It is not a de Polignac number, because 1027237813 - 217 = 1027106741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027237819) 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 5 ways as a sum of consecutive naturals, for example, 10481970 + ... + 10482067.

It is an arithmetic number, because the mean of its divisors is an integer number (199158361).

Almost surely, 21027237813 is an apocalyptic number.

It is an amenable number.

1027237813 is a deficient number, since it is larger than the sum of its proper divisors (167712353).

1027237813 is an equidigital number, since it uses as much as digits as its factorization.

1027237813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20964051 (or 20964044 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 1027237813 is about 32050.5509001015. The cubic root of 1027237813 is about 1008.9980630188.

The spelling of 1027237813 in words is "one billion, twenty-seven million, two hundred thirty-seven thousand, eight hundred thirteen".

Divisors: 1 7 49 20964037 146748259 1027237813