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20327472 = 24321141313
BaseRepresentation
bin100110110001…
…0110000110000
31102020202001100
41031202300300
520200434342
62003404400
7334531524
oct115426060
942222040
1020327472
1110524370
126983700
1342994b9
1429b1d84
151bb7e4c
hex1362c30

20327472 has 120 divisors (see below), whose sum is σ = 63777168. Its totient is φ = 5990400.

The previous prime is 20327471. The next prime is 20327477. The reversal of 20327472 is 27472302.

It is a super-2 number, since 2×203274722 = 826412235821568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20327471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64788 + ... + 65100.

Almost surely, 220327472 is an apocalyptic number.

20327472 is a gapful number since it is divisible by the number (22) 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 20327472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31888584).

20327472 is an abundant number, since it is smaller than the sum of its proper divisors (43449696).

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

20327472 is a wasteful number, since it uses less digits than its factorization.

20327472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

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

The square root of 20327472 is about 4508.5997826376. The cubic root of 20327472 is about 272.9152415700.

Adding to 20327472 its reverse (27472302), we get a palindrome (47799774).

The spelling of 20327472 in words is "twenty million, three hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 41 44 48 66 72 82 88 99 123 132 144 164 176 198 246 264 313 328 369 396 451 492 528 626 656 738 792 902 939 984 1252 1353 1476 1584 1804 1878 1968 2504 2706 2817 2952 3443 3608 3756 4059 5008 5412 5634 5904 6886 7216 7512 8118 10329 10824 11268 12833 13772 15024 16236 20658 21648 22536 25666 27544 30987 32472 38499 41316 45072 51332 55088 61974 64944 76998 82632 102664 115497 123948 141163 153996 165264 205328 230994 247896 282326 307992 423489 461988 495792 564652 615984 846978 923976 1129304 1270467 1693956 1847952 2258608 2540934 3387912 5081868 6775824 10163736 20327472