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20393856 = 27347281
BaseRepresentation
bin100110111001…
…0111110000000
31102101010010000
41031302332000
520210100411
62005040000
7335226210
oct115627600
942333100
1020393856
111056a22a
1269b6000
1342c0792
1429cc240
151bcc956
hex1372f80

20393856 has 160 divisors (see below), whose sum is σ = 69608880. Its totient is φ = 5806080.

The previous prime is 20393839. The next prime is 20393861. The reversal of 20393856 is 65839302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20393856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72436 + ... + 72716.

Almost surely, 220393856 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 20393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34804440).

20393856 is an abundant number, since it is smaller than the sum of its proper divisors (49215024).

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

20393856 is an equidigital number, since it uses as much as digits as its factorization.

20393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20393856 is about 4515.9557128032. The cubic root of 20393856 is about 273.2120077582.

The spelling of 20393856 in words is "twenty million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 281 288 324 336 378 384 432 448 504 562 567 576 648 672 756 843 864 896 1008 1124 1134 1152 1296 1344 1512 1686 1728 1967 2016 2248 2268 2529 2592 2688 3024 3372 3456 3934 4032 4496 4536 5058 5184 5901 6048 6744 7587 7868 8064 8992 9072 10116 10368 11802 12096 13488 15174 15736 17703 17984 18144 20232 22761 23604 24192 26976 30348 31472 35406 35968 36288 40464 45522 47208 53109 53952 60696 62944 70812 72576 80928 91044 94416 106218 107904 121392 125888 141624 159327 161856 182088 188832 212436 242784 251776 283248 318654 323712 364176 377664 424872 485568 566496 637308 728352 755328 849744 971136 1132992 1274616 1456704 1699488 2265984 2549232 2913408 3398976 5098464 6797952 10196928 20393856