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20426560 = 265711829
BaseRepresentation
bin100110111101…
…0111101000000
31102102202222021
41031322331000
520212122220
62005451224
7335423440
oct115727500
942382867
1020426560
1110591860
126a10b14
13430262b
1429da120
151bd74aa
hex137af40

20426560 has 112 divisors (see below), whose sum is σ = 60716160. Its totient is φ = 6359040.

The previous prime is 20426557. The next prime is 20426561. The reversal of 20426560 is 6562402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20426561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24226 + ... + 25054.

Almost surely, 220426560 is an apocalyptic number.

20426560 is a gapful number since it is divisible by the number (20) 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 20426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30358080).

20426560 is an abundant number, since it is smaller than the sum of its proper divisors (40289600).

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

20426560 is a wasteful number, since it uses less digits than its factorization.

20426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 20426560 is about 4519.5752012772. The cubic root of 20426560 is about 273.3579725294.

Adding to 20426560 its reverse (6562402), we get a palindrome (26988962).

The spelling of 20426560 in words is "twenty million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 829 880 1120 1232 1540 1658 1760 2240 2464 3080 3316 3520 4145 4928 5803 6160 6632 8290 9119 11606 12320 13264 16580 18238 23212 24640 26528 29015 33160 36476 45595 46424 53056 58030 63833 66320 72952 91190 92848 116060 127666 132640 145904 182380 185696 232120 255332 265280 291808 319165 364760 371392 464240 510664 583616 638330 729520 928480 1021328 1276660 1459040 1856960 2042656 2553320 2918080 4085312 5106640 10213280 20426560