Search a number
-
+
20887944 = 23371189127
BaseRepresentation
bin100111110101…
…1100110001000
31110022012212120
41033223212020
520321403234
62023411240
7342354540
oct117534610
943265776
1020887944
1110877470
126bb3b20
13443463c
142aba320
151c79049
hex13eb988

20887944 has 128 divisors (see below), whose sum is σ = 66355200. Its totient is φ = 5322240.

The previous prime is 20887939. The next prime is 20887949. The reversal of 20887944 is 44978802.

It is an interprime number because it is at equal distance from previous prime (20887939) and next prime (20887949).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20887896 and 20887905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20887949) 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 31 ways as a sum of consecutive naturals, for example, 164409 + ... + 164535.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 220887944 is an apocalyptic number.

20887944 is a gapful number since it is divisible by the number (24) 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 20887944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33177600).

20887944 is an abundant number, since it is smaller than the sum of its proper divisors (45467256).

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

20887944 is a wasteful number, since it uses less digits than its factorization.

20887944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 20887944 is about 4570.3330294411. Note that the first 3 decimals coincide. The cubic root of 20887944 is about 275.4008215661.

The spelling of 20887944 in words is "twenty million, eight hundred eighty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 89 127 132 154 168 178 231 254 264 267 308 356 381 462 508 534 616 623 712 762 889 924 979 1016 1068 1246 1397 1524 1778 1848 1869 1958 2136 2492 2667 2794 2937 3048 3556 3738 3916 4191 4984 5334 5588 5874 6853 7112 7476 7832 8382 9779 10668 11176 11303 11748 13706 14952 16764 19558 20559 21336 22606 23496 27412 29337 33528 33909 39116 41118 45212 54824 58674 67818 78232 79121 82236 90424 117348 124333 135636 158242 164472 234696 237363 248666 271272 316484 372999 474726 497332 632968 745998 870331 949452 994664 1491996 1740662 1898904 2610993 2983992 3481324 5221986 6962648 10443972 20887944