Search a number
-
+
20049984 = 263341283
BaseRepresentation
bin100110001111…
…1000001000000
31101201122102000
41030133001000
520113044414
61553424000
7332264523
oct114370100
941648360
1020049984
1110354939
12686b000
1342000c6
14293cbba
151b60b09
hex131f040

20049984 has 112 divisors (see below), whose sum is σ = 60594240. Its totient is φ = 6497280.

The previous prime is 20049983. The next prime is 20049989. The reversal of 20049984 is 48994002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20049983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70707 + ... + 70989.

It is an arithmetic number, because the mean of its divisors is an integer number (541020).

Almost surely, 220049984 is an apocalyptic number.

20049984 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 20049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30297120).

20049984 is an abundant number, since it is smaller than the sum of its proper divisors (40544256).

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

20049984 is a wasteful number, since it uses less digits than its factorization.

20049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20049984 is about 4477.7208488248. The cubic root of 20049984 is about 271.6677026236.

It can be divided in two parts, 2004998 and 4, that added together give a palindrome (2005002).

The spelling of 20049984 in words is "twenty million, forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 283 288 328 369 432 492 566 576 656 738 849 864 984 1107 1132 1312 1476 1698 1728 1968 2214 2264 2547 2624 2952 3396 3936 4428 4528 5094 5904 6792 7641 7872 8856 9056 10188 11603 11808 13584 15282 17712 18112 20376 23206 23616 27168 30564 34809 35424 40752 46412 54336 61128 69618 70848 81504 92824 104427 122256 139236 163008 185648 208854 244512 278472 313281 371296 417708 489024 556944 626562 742592 835416 1113888 1253124 1670832 2227776 2506248 3341664 5012496 6683328 10024992 20049984