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20703744 = 29324493
BaseRepresentation
bin100111011111…
…0101000000000
31102221212012100
41032332220000
520300004434
62015430400
7340656525
oct116765000
942855170
1020703744
1110761036
126b25400
13439b849
142a6d14c
151c3e699
hex13bea00

20703744 has 60 divisors (see below), whose sum is σ = 59765706. Its totient is φ = 6899712.

The previous prime is 20703743. The next prime is 20703763. The reversal of 20703744 is 44730702.

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 9734400 = 3312^2 + 3120^2 .

It is not an unprimeable number, because it can be changed into a prime (20703743) 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 5 ways as a sum of consecutive naturals, for example, 2362 + ... + 6854.

Almost surely, 220703744 is an apocalyptic number.

20703744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29882853).

20703744 is an abundant number, since it is smaller than the sum of its proper divisors (39061962).

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

20703744 is an equidigital number, since it uses as much as digits as its factorization.

20703744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20703744 is about 4550.1367012432. The cubic root of 20703744 is about 274.5888909562.

The spelling of 20703744 in words is "twenty million, seven hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4493 4608 8986 13479 17972 26958 35944 40437 53916 71888 80874 107832 143776 161748 215664 287552 323496 431328 575104 646992 862656 1150208 1293984 1725312 2300416 2587968 3450624 5175936 6901248 10351872 20703744