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20026368 = 210324153
BaseRepresentation
bin100110001100…
…1010000000000
31101200110000100
41030121100000
520111320433
61553122400
7332135625
oct114312000
941613010
1020026368
111033911a
126859400
1341c242b
14293434c
151b58b13
hex1319400

20026368 has 132 divisors (see below), whose sum is σ = 60353748. Its totient is φ = 6389760.

The previous prime is 20026339. The next prime is 20026373. The reversal of 20026368 is 86362002.

20026368 is a `hidden beast` number, since 20 + 0 + 2 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 13307904 = 2592^2 + 3648^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377830 + ... + 377882.

Almost surely, 220026368 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 20026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176874).

20026368 is an abundant number, since it is smaller than the sum of its proper divisors (40327380).

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

20026368 is a wasteful number, since it uses less digits than its factorization.

20026368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20026368 is about 4475.0830159898. The cubic root of 20026368 is about 271.5609988802.

The spelling of 20026368 in words is "twenty million, twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 53 64 72 82 96 106 123 128 144 159 164 192 212 246 256 288 318 328 369 384 424 477 492 512 576 636 656 738 768 848 954 984 1024 1152 1272 1312 1476 1536 1696 1908 1968 2173 2304 2544 2624 2952 3072 3392 3816 3936 4346 4608 5088 5248 5904 6519 6784 7632 7872 8692 9216 10176 10496 11808 13038 13568 15264 15744 17384 19557 20352 20992 23616 26076 27136 30528 31488 34768 39114 40704 41984 47232 52152 54272 61056 62976 69536 78228 81408 94464 104304 122112 125952 139072 156456 162816 188928 208608 244224 278144 312912 377856 417216 488448 556288 625824 834432 1112576 1251648 1668864 2225152 2503296 3337728 5006592 6675456 10013184 20026368