Search a number
-
+
61920193 is a prime number
BaseRepresentation
bin1110110000110…
…1001111000001
311022111212112111
43230031033001
5111322421233
610051055321
71351212226
oct354151701
9138455474
1061920193
1131a52615
12188a1541
13ca9cc8a
14831b94d
155681acd
hex3b0d3c1

61920193 has 2 divisors, whose sum is σ = 61920194. Its totient is φ = 61920192.

The previous prime is 61920179. The next prime is 61920211. The reversal of 61920193 is 39102916.

61920193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40870449 + 21049744 = 6393^2 + 4588^2 .

It is a cyclic number.

It is not a de Polignac number, because 61920193 - 25 = 61920161 is a prime.

It is a super-2 number, since 2×619201932 = 7668220602314498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61920143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30960096 + 30960097.

It is an arithmetic number, because the mean of its divisors is an integer number (30960097).

Almost surely, 261920193 is an apocalyptic number.

It is an amenable number.

61920193 is a deficient number, since it is larger than the sum of its proper divisors (1).

61920193 is an equidigital number, since it uses as much as digits as its factorization.

61920193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 61920193 is about 7868.9384925795. The cubic root of 61920193 is about 395.6192668380.

The spelling of 61920193 in words is "sixty-one million, nine hundred twenty thousand, one hundred ninety-three".