Search a number
-
+
1920378941 = 1321572461
BaseRepresentation
bin111001001110110…
…1010100000111101
311221211112100122222
41302131222200331
512413104111231
6514320215125
765405644265
oct16235524075
94854470588
101920378941
118a6005138
1245716a4a5
13247b1a600
141430907a5
15b38d627b
hex7276a83d

1920378941 has 18 divisors (see below), whose sum is σ = 2097332622. Its totient is φ = 1757545920.

The previous prime is 1920378931. The next prime is 1920378947. The reversal of 1920378941 is 1498730291.

It can be written as a sum of positive squares in 9 ways, for example, as 1507070041 + 413308900 = 38821^2 + 20330^2 .

It is not a de Polignac number, because 1920378941 - 210 = 1920377917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1920378892 and 1920378901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920378947) 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 17 ways as a sum of consecutive naturals, for example, 4165451 + ... + 4165911.

It is an arithmetic number, because the mean of its divisors is an integer number (116518479).

Almost surely, 21920378941 is an apocalyptic number.

It is an amenable number.

1920378941 is a deficient number, since it is larger than the sum of its proper divisors (176953681).

1920378941 is an equidigital number, since it uses as much as digits as its factorization.

1920378941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 1920378941 is about 43822.1284398647. The cubic root of 1920378941 is about 1242.9747649051.

The spelling of 1920378941 in words is "one billion, nine hundred twenty million, three hundred seventy-eight thousand, nine hundred forty-one".

Divisors: 1 13 157 169 461 2041 5993 24649 26533 72377 77909 320437 940901 4165681 11363189 12231713 147721457 1920378941