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20746461 = 3191133221
BaseRepresentation
bin100111100100…
…1000011011101
31110001000210110
41033021003131
520302341321
62020400233
7341225211
oct117110335
943030713
1020746461
111079013a
126b46079
1343b5118
142a80941
151c4c176
hex13c90dd

20746461 has 16 divisors (see below), whose sum is σ = 29384640. Its totient is φ = 12983040.

The previous prime is 20746441. The next prime is 20746487. The reversal of 20746461 is 16464702.

20746461 is a nontrivial binomial coefficient, being equal to C(6442, 2).

It is not a de Polignac number, because 20746461 - 223 = 12357853 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 (20746421) 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 15 ways as a sum of consecutive naturals, for example, 4831 + ... + 8051.

It is an arithmetic number, because the mean of its divisors is an integer number (1836540).

Almost surely, 220746461 is an apocalyptic number.

20746461 is the 6441-st triangular number and also the 3221-st hexagonal number.

It is an amenable number.

20746461 is a deficient number, since it is larger than the sum of its proper divisors (8638179).

20746461 is a wasteful number, since it uses less digits than its factorization.

20746461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20746461 is about 4554.8283172914. The cubic root of 20746461 is about 274.7776097350. Note that the first 3 decimals are identical.

The spelling of 20746461 in words is "twenty million, seven hundred forty-six thousand, four hundred sixty-one".

Divisors: 1 3 19 57 113 339 2147 3221 6441 9663 61199 183597 363973 1091919 6915487 20746461