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20007741 = 3132193167
BaseRepresentation
bin100110001010…
…0101100111101
31101122111110110
41030110230331
520110221431
61552500233
7332030415
oct114245475
941574413
1020007741
1110326126
12684a679
1341b6b00
14292b645
151b53346
hex1314b3d

20007741 has 48 divisors (see below), whose sum is σ = 31856640. Its totient is φ = 11119680.

The previous prime is 20007737. The next prime is 20007749. The reversal of 20007741 is 14770002.

20007741 = 1682 + 1692 + ... + 4012.

It is not a de Polignac number, because 20007741 - 22 = 20007737 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20007749) 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 47 ways as a sum of consecutive naturals, for example, 298590 + ... + 298656.

It is an arithmetic number, because the mean of its divisors is an integer number (663680).

Almost surely, 220007741 is an apocalyptic number.

It is an amenable number.

20007741 is a deficient number, since it is larger than the sum of its proper divisors (11848899).

20007741 is a wasteful number, since it uses less digits than its factorization.

20007741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 20007741 is about 4473.0013413814. The cubic root of 20007741 is about 271.4767776535.

Adding to 20007741 its reverse (14770002), we get a palindrome (34777743).

The spelling of 20007741 in words is "twenty million, seven thousand, seven hundred forty-one".

Divisors: 1 3 13 19 31 39 57 67 93 169 201 247 403 507 589 741 871 1209 1273 1767 2077 2613 3211 3819 5239 6231 7657 9633 11323 15717 16549 22971 27001 33969 39463 49647 81003 99541 118389 215137 298623 351013 513019 645411 1053039 1539057 6669247 20007741