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20304752 = 2413314767
BaseRepresentation
bin100110101110…
…1001101110000
31102012120212212
41031131031300
520144223002
62003111252
7334405346
oct115351560
942176785
1020304752
1110509296
126972528
13428c060
1429a7996
151bb1352
hex135d370

20304752 has 80 divisors (see below), whose sum is σ = 45330432. Its totient is φ = 8743680.

The previous prime is 20304751. The next prime is 20304763. The reversal of 20304752 is 25740302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20304751) 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, 303023 + ... + 303089.

Almost surely, 220304752 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 20304752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22665216).

20304752 is an abundant number, since it is smaller than the sum of its proper divisors (25025680).

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

20304752 is a wasteful number, since it uses less digits than its factorization.

20304752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 20304752 is about 4506.0794489223. The cubic root of 20304752 is about 272.8135246116.

The spelling of 20304752 in words is "twenty million, three hundred four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 47 52 62 67 94 104 124 134 188 208 248 268 376 403 496 536 611 752 806 871 1072 1222 1457 1612 1742 2077 2444 2914 3149 3224 3484 4154 4888 5828 6298 6448 6968 8308 9776 11656 12596 13936 16616 18941 23312 25192 27001 33232 37882 40937 50384 54002 75764 81874 97619 108004 151528 163748 195238 216008 303056 327496 390476 432016 654992 780952 1269047 1561904 2538094 5076188 10152376 20304752