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20948411 = 112997677
BaseRepresentation
bin100111111101…
…0010110111011
31110102021211002
41033322112323
520330322121
62024555215
7343026041
oct117722673
943367732
1020948411
1110908940
127022b0b
134456013
142ad4391
151c8be0b
hex13fa5bb

20948411 has 16 divisors (see below), whose sum is σ = 23919840. Its totient is φ = 18170880.

The previous prime is 20948399. The next prime is 20948419. The reversal of 20948411 is 11484902.

20948411 = T650 + T651 + ... + T736.

It is a cyclic number.

It is not a de Polignac number, because 20948411 - 210 = 20947387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20948419) 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 15 ways as a sum of consecutive naturals, for example, 30605 + ... + 31281.

It is an arithmetic number, because the mean of its divisors is an integer number (1494990).

Almost surely, 220948411 is an apocalyptic number.

20948411 is a deficient number, since it is larger than the sum of its proper divisors (2971429).

20948411 is a wasteful number, since it uses less digits than its factorization.

20948411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 20948411 is about 4576.9434123659. The cubic root of 20948411 is about 275.6663115286. Note that the first 3 decimals are identical.

It can be divided in two parts, 209484 and 11, that multiplied together give a square (2304324 = 15182).

The spelling of 20948411 in words is "twenty million, nine hundred forty-eight thousand, four hundred eleven".

Divisors: 1 11 29 97 319 677 1067 2813 7447 19633 30943 65669 215963 722359 1904401 20948411