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20332032 = 29373161
BaseRepresentation
bin100110110001…
…1111000000000
31102020222022020
41031203320000
520201111112
62003441440
7334551030
oct115437000
942228266
1020332032
1110527836
126986280
13429b5b6
1429b38c0
151bb948c
hex1363e00

20332032 has 160 divisors (see below), whose sum is σ = 64948224. Its totient is φ = 5529600.

The previous prime is 20331989. The next prime is 20332043. The reversal of 20332032 is 23023302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333282 + ... + 333342.

It is a self-describing number.

Almost surely, 220332032 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 20332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32474112).

20332032 is an abundant number, since it is smaller than the sum of its proper divisors (44616192).

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

20332032 is an equidigital number, since it uses as much as digits as its factorization.

20332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 20332032 is about 4509.1054545220. The cubic root of 20332032 is about 272.9356474598.

Adding to 20332032 its reverse (23023302), we get a palindrome (43355334).

The spelling of 20332032 in words is "twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 61 62 64 84 93 96 112 122 124 128 168 183 186 192 217 224 244 248 256 336 366 372 384 427 434 448 488 496 512 651 672 732 744 768 854 868 896 976 992 1281 1302 1344 1464 1488 1536 1708 1736 1792 1891 1952 1984 2562 2604 2688 2928 2976 3416 3472 3584 3782 3904 3968 5124 5208 5376 5673 5856 5952 6832 6944 7564 7808 7936 10248 10416 10752 11346 11712 11904 13237 13664 13888 15128 15616 15872 20496 20832 22692 23424 23808 26474 27328 27776 30256 31232 39711 40992 41664 45384 46848 47616 52948 54656 55552 60512 79422 81984 83328 90768 93696 105896 109312 111104 121024 158844 163968 166656 181536 211792 218624 242048 317688 327936 333312 363072 423584 484096 635376 655872 726144 847168 968192 1270752 1452288 1694336 2541504 2904576 3388672 5083008 6777344 10166016 20332032