Search a number
-
+
61920585 = 335523877
BaseRepresentation
bin1110110000110…
…1010101001001
311022111220002000
43230031111021
5111322424320
610051101213
71351213326
oct354152511
9138456060
1061920585
1131a52941
12188a1809
13caa01cc
14831bb4d
155681c90
hex3b0d549

61920585 has 32 divisors (see below), whose sum is σ = 110417280. Its totient is φ = 32923584.

The previous prime is 61920581. The next prime is 61920659. The reversal of 61920585 is 58502916.

It is a happy number.

61920585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61920585 - 22 = 61920581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61920581) 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 in 31 ways as a sum of consecutive naturals, for example, 70167 + ... + 71043.

It is an arithmetic number, because the mean of its divisors is an integer number (3450540).

Almost surely, 261920585 is an apocalyptic number.

It is an amenable number.

61920585 is a deficient number, since it is larger than the sum of its proper divisors (48496695).

61920585 is a wasteful number, since it uses less digits than its factorization.

61920585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 61920585 is about 7868.9634006011. The cubic root of 61920585 is about 395.6201016891.

The spelling of 61920585 in words is "sixty-one million, nine hundred twenty thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 523 877 1569 2615 2631 4385 4707 7845 7893 13155 14121 23535 23679 39465 70605 118395 458671 1376013 2293355 4128039 6880065 12384117 20640195 61920585