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20307024 = 24361741
BaseRepresentation
bin100110101110…
…1110001010000
31102012201000000
41031131301100
520144311044
62003130000
7334415103
oct115356120
942181000
1020307024
111050aa71
126973900
1342900ba
1429a873a
151bb1d69
hex135dc50

20307024 has 70 divisors (see below), whose sum is σ = 59024186. Its totient is φ = 6765120.

The previous prime is 20306987. The next prime is 20307037. The reversal of 20307024 is 42070302.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 9809424 = 3240^2 + 3132^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20306988 and 20307006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10794 + ... + 12534.

Almost surely, 220307024 is an apocalyptic number.

20307024 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 20307024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29512093).

20307024 is an abundant number, since it is smaller than the sum of its proper divisors (38717162).

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

20307024 is an equidigital number, since it uses as much as digits as its factorization.

20307024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20307024 is about 4506.3315457254. The cubic root of 20307024 is about 272.8236997209.

Adding to 20307024 its reverse (42070302), we get a palindrome (62377326).

The spelling of 20307024 in words is "twenty million, three hundred seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1741 1944 2916 3482 3888 5223 5832 6964 10446 11664 13928 15669 20892 27856 31338 41784 47007 62676 83568 94014 125352 141021 188028 250704 282042 376056 423063 564084 752112 846126 1128168 1269189 1692252 2256336 2538378 3384504 5076756 6769008 10153512 20307024