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20820261 = 3711193467
BaseRepresentation
bin100111101101…
…1000100100101
31110011210000210
41033123010211
520312222021
62022130033
7341653320
oct117330445
943153023
1020820261
1110830630
126b80919
13440c8a7
142a9d7b7
151c63e76
hex13db125

20820261 has 32 divisors (see below), whose sum is σ = 34864128. Its totient is φ = 10736640.

The previous prime is 20820259. The next prime is 20820311. The reversal of 20820261 is 16202802.

It is not a de Polignac number, because 20820261 - 21 = 20820259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20820211) 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, 44350 + ... + 44816.

It is an arithmetic number, because the mean of its divisors is an integer number (1089504).

Almost surely, 220820261 is an apocalyptic number.

20820261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20820261 is a deficient number, since it is larger than the sum of its proper divisors (14043867).

20820261 is a wasteful number, since it uses less digits than its factorization.

20820261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20820261 is about 4562.9224188014. The cubic root of 20820261 is about 275.1030401748.

The spelling of 20820261 in words is "twenty million, eight hundred twenty thousand, two hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 193 231 467 579 1351 1401 2123 3269 4053 5137 6369 9807 14861 15411 35959 44583 90131 107877 270393 630917 991441 1892751 2974323 6940087 20820261