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20793456 = 2433127379
BaseRepresentation
bin100111101010…
…0100001110000
31110010102021000
41033110201300
520310342311
62021402000
7341512215
oct117244160
943112230
1020793456
1110812482
126b69300
134400628
142a93b0c
151c5b056
hex13d4870

20793456 has 80 divisors (see below), whose sum is σ = 60313600. Its totient is φ = 6858432.

The previous prime is 20793433. The next prime is 20793457. The reversal of 20793456 is 65439702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20793456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20793457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54675 + ... + 55053.

It is an arithmetic number, because the mean of its divisors is an integer number (753920).

Almost surely, 220793456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20793456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30156800).

20793456 is an abundant number, since it is smaller than the sum of its proper divisors (39520144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20793456 is a wasteful number, since it uses less digits than its factorization.

20793456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 20793456 is about 4559.9842104990. The cubic root of 20793456 is about 274.9849292016.

The spelling of 20793456 in words is "twenty million, seven hundred ninety-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 379 381 432 508 758 762 1016 1137 1143 1516 1524 2032 2274 2286 3032 3048 3411 3429 4548 4572 6064 6096 6822 6858 9096 9144 10233 13644 13716 18192 18288 20466 27288 27432 40932 48133 54576 54864 81864 96266 144399 163728 192532 288798 385064 433197 577596 770128 866394 1155192 1299591 1732788 2310384 2599182 3465576 5198364 6931152 10396728 20793456