Search a number
-
+
20874797460 = 223251123334519
BaseRepresentation
bin10011011100001111…
…000010000110010100
31222212210121120202200
4103130033002012110
5320222422004320
613331215204500
71336203564546
oct233417020624
958783546680
1020874797460
118942308330
124066b16730
131c789b8b7a
141020561696
1582296a290
hex4dc3c2194

20874797460 has 144 divisors (see below), whose sum is σ = 69121503360. Its totient is φ = 5057268480.

The previous prime is 20874797443. The next prime is 20874797467. The reversal of 20874797460 is 6479747802.

20874797460 is a `hidden beast` number, since 20 + 8 + 74 + 7 + 97 + 460 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20874797397 and 20874797406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20874797467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4617081 + ... + 4621599.

It is an arithmetic number, because the mean of its divisors is an integer number (480010440).

Almost surely, 220874797460 is an apocalyptic number.

20874797460 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 20874797460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560751680).

20874797460 is an abundant number, since it is smaller than the sum of its proper divisors (48246705900).

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

20874797460 is a wasteful number, since it uses less digits than its factorization.

20874797460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 20874797460 in words is "twenty billion, eight hundred seventy-four million, seven hundred ninety-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2333 4519 4666 6999 9038 9332 11665 13557 13998 18076 20997 22595 23330 25663 27114 27996 34995 40671 41994 45190 46660 49709 51326 54228 67785 69990 76989 81342 83988 90380 99418 102652 104985 128315 135570 139980 149127 153978 162684 198836 203355 209970 230967 248545 256630 271140 298254 307956 384945 406710 419940 447381 461934 497090 513260 596508 745635 769890 813420 894762 923868 994180 1154835 1491270 1539780 1789524 2236905 2309670 2982540 4473810 4619340 8947620 10542827 21085654 31628481 42171308 52714135 63256962 94885443 105428270 115971097 126513924 158142405 189770886 210856540 231942194 316284810 347913291 379541772 463884388 474427215 579855485 632569620 695826582 948854430 1043739873 1159710970 1391653164 1739566455 1897708860 2087479746 2319421940 3479132910 4174959492 5218699365 6958265820 10437398730 20874797460