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20417856 = 2631929193
BaseRepresentation
bin100110111100…
…0110101000000
31102102100000220
41031320311000
520211332411
62005343040
7335356164
oct115706500
942370026
1020417856
1110586268
126a07a80
1342cb694
1429d6ca4
151bd4b06
hex1378d40

20417856 has 112 divisors (see below), whose sum is σ = 59131200. Its totient is φ = 6193152.

The previous prime is 20417851. The next prime is 20417861. The reversal of 20417856 is 65871402.

It is an interprime number because it is at equal distance from previous prime (20417851) and next prime (20417861).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20417851) 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 15 ways as a sum of consecutive naturals, for example, 105696 + ... + 105888.

Almost surely, 220417856 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 20417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29565600).

20417856 is an abundant number, since it is smaller than the sum of its proper divisors (38713344).

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

20417856 is a wasteful number, since it uses less digits than its factorization.

20417856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 20417856 is about 4518.6121763214. The cubic root of 20417856 is about 273.3191399861.

The spelling of 20417856 in words is "twenty million, four hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 152 174 192 193 228 232 304 348 386 456 464 551 579 608 696 772 912 928 1102 1158 1216 1392 1544 1653 1824 1856 2204 2316 2784 3088 3306 3648 3667 4408 4632 5568 5597 6176 6612 7334 8816 9264 11001 11194 12352 13224 14668 16791 17632 18528 22002 22388 26448 29336 33582 35264 37056 44004 44776 52896 58672 67164 88008 89552 105792 106343 117344 134328 176016 179104 212686 234688 268656 319029 352032 358208 425372 537312 638058 704064 850744 1074624 1276116 1701488 2552232 3402976 5104464 6805952 10208928 20417856