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20412315 = 32571143137
BaseRepresentation
bin100110111011…
…1011110011011
31102102001102200
41031313132123
520211143230
62005301243
7335334060
oct115673633
942361380
1020412315
1110582090
126a04823
1342c8cc1
1429d4c67
151bd3160
hex137779b

20412315 has 96 divisors (see below), whose sum is σ = 45467136. Its totient is φ = 8225280.

The previous prime is 20412277. The next prime is 20412319. The reversal of 20412315 is 51321402.

20412315 = 5822 + 5832 + ... + 6362.

It is not a de Polignac number, because 20412315 - 210 = 20411291 is a prime.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (20412319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148927 + ... + 149063.

It is an arithmetic number, because the mean of its divisors is an integer number (473616).

Almost surely, 220412315 is an apocalyptic number.

20412315 is an abundant number, since it is smaller than the sum of its proper divisors (25054821).

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

20412315 is a wasteful number, since it uses less digits than its factorization.

20412315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20412315 is about 4517.9990039840. Note that the first 3 decimals coincide. The cubic root of 20412315 is about 273.2944132898.

Adding to 20412315 its reverse (51321402), we get a palindrome (71733717).

It can be divided in two parts, 2041 and 2315, that added together give a square (4356 = 662).

The spelling of 20412315 in words is "twenty million, four hundred twelve thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 43 45 55 63 77 99 105 129 137 165 215 231 301 315 385 387 411 473 495 645 685 693 903 959 1155 1233 1419 1505 1507 1935 2055 2365 2709 2877 3311 3465 4257 4515 4521 4795 5891 6165 7095 7535 8631 9933 10549 13545 13563 14385 16555 17673 21285 22605 29455 29799 31647 41237 43155 49665 52745 53019 64801 67815 88365 94941 123711 148995 158235 194403 206185 265095 324005 371133 453607 474705 583209 618555 972015 1360821 1855665 2268035 2916045 4082463 6804105 20412315