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20104656 = 243111329101
BaseRepresentation
bin100110010110…
…0010111010000
31101211102101220
41030230113100
520121322111
61554525040
7332613105
oct114542720
941742356
1020104656
1110391a20
126896780
13421bc60
142954aac
151b71e06
hex132c5d0

20104656 has 160 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 5376000.

The previous prime is 20104639. The next prime is 20104657. The reversal of 20104656 is 65640102.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20104657) 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 31 ways as a sum of consecutive naturals, for example, 199006 + ... + 199106.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 220104656 is an apocalyptic number.

20104656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

20104656 is an abundant number, since it is smaller than the sum of its proper divisors (43641264).

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

20104656 is a wasteful number, since it uses less digits than its factorization.

20104656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20104656 is about 4483.8215843184. The cubic root of 20104656 is about 271.9144050164.

Adding to 20104656 its reverse (65640102), we get a palindrome (85744758).

It can be divided in two parts, 201046 and 56, that added together give a palindrome (201102).

The spelling of 20104656 in words is "twenty million, one hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 29 33 39 44 48 52 58 66 78 87 88 101 104 116 132 143 156 174 176 202 208 232 264 286 303 312 319 348 377 404 429 464 528 572 606 624 638 696 754 808 858 957 1111 1131 1144 1212 1276 1313 1392 1508 1616 1716 1914 2222 2262 2288 2424 2552 2626 2929 3016 3333 3432 3828 3939 4147 4444 4524 4848 5104 5252 5858 6032 6666 6864 7656 7878 8294 8787 8888 9048 10504 11716 12441 13332 14443 15312 15756 16588 17574 17776 18096 21008 23432 24882 26664 28886 31512 32219 33176 35148 38077 43329 46864 49764 53328 57772 63024 64438 66352 70296 76154 86658 96657 99528 114231 115544 128876 140592 152308 173316 193314 199056 228462 231088 257752 304616 346632 386628 418847 456924 515504 609232 693264 773256 837694 913848 1256541 1546512 1675388 1827696 2513082 3350776 5026164 6701552 10052328 20104656