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20313744 = 2431179487
BaseRepresentation
bin100110101111…
…1011010010000
31102020001012220
41031133122100
520200014434
62003221040
7334443513
oct115373220
942201186
1020313744
1110515020
126977780
134293189
1429aad7a
151bb3d49
hex135f690

20313744 has 80 divisors (see below), whose sum is σ = 58091520. Its totient is φ = 6065280.

The previous prime is 20313743. The next prime is 20313749. The reversal of 20313744 is 44731302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20313743) 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, 41469 + ... + 41955.

It is an arithmetic number, because the mean of its divisors is an integer number (726144).

Almost surely, 220313744 is an apocalyptic number.

20313744 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 20313744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29045760).

20313744 is an abundant number, since it is smaller than the sum of its proper divisors (37777776).

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

20313744 is a wasteful number, since it uses less digits than its factorization.

20313744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20313744 is about 4507.0771016258. The cubic root of 20313744 is about 272.8537906731.

It can be divided in two parts, 2031 and 3744, that added together give a palindrome (5775).

The spelling of 20313744 in words is "twenty million, three hundred thirteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 487 528 632 869 948 974 1264 1461 1738 1896 1948 2607 2922 3476 3792 3896 5214 5357 5844 6952 7792 10428 10714 11688 13904 16071 20856 21428 23376 32142 38473 41712 42856 64284 76946 85712 115419 128568 153892 230838 257136 307784 423203 461676 615568 846406 923352 1269609 1692812 1846704 2539218 3385624 5078436 6771248 10156872 20313744