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20398896 = 24327459
BaseRepresentation
bin100110111010…
…0001100110000
31102101101000200
41031310030300
520210231041
62005115200
7335250000
oct115641460
942341020
1020398896
1110572aa1
1269b8b00
1342c2b6b
1429d0000
151bce1b6
hex1374330

20398896 has 150 divisors (see below), whose sum is σ = 67728180. Its totient is φ = 5729472.

The previous prime is 20398891. The next prime is 20398897. The reversal of 20398896 is 69889302.

It is a super-2 number, since 2×203988962 = 832229916037632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20398891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345715 + ... + 345773.

Almost surely, 220398896 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 20398896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33864090).

20398896 is an abundant number, since it is smaller than the sum of its proper divisors (47329284).

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

20398896 is an equidigital number, since it uses as much as digits as its factorization.

20398896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 20398896 is about 4516.5136997467. The cubic root of 20398896 is about 273.2345124953.

It can be divided in two parts, 203 and 98896, that added together give a palindrome (99099).

The spelling of 20398896 in words is "twenty million, three hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 59 63 72 84 98 112 118 126 144 147 168 177 196 236 252 294 336 343 354 392 413 441 472 504 531 588 686 708 784 826 882 944 1008 1029 1062 1176 1239 1372 1416 1652 1764 2058 2124 2352 2401 2478 2744 2832 2891 3087 3304 3528 3717 4116 4248 4802 4956 5488 5782 6174 6608 7056 7203 7434 8232 8496 8673 9604 9912 11564 12348 14406 14868 16464 17346 19208 19824 20237 21609 23128 24696 26019 28812 29736 34692 38416 40474 43218 46256 49392 52038 57624 59472 60711 69384 80948 86436 104076 115248 121422 138768 141659 161896 172872 182133 208152 242844 283318 323792 345744 364266 416304 424977 485688 566636 728532 849954 971376 1133272 1274931 1457064 1699908 2266544 2549862 2914128 3399816 5099724 6799632 10199448 20398896