Search a number
-
+
84420180 = 223251343839
BaseRepresentation
bin1010000100000…
…10011001010100
312212211222201100
411002002121110
5133102421210
612213230100
72043362655
oct502023124
9185758640
1084420180
1143720149
1224332330
131464a290
14b2d752c
1576285c0
hex5082654

84420180 has 144 divisors (see below), whose sum is σ = 282522240. Its totient is φ = 20272896.

The previous prime is 84420109. The next prime is 84420187. The reversal of 84420180 is 8102448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84420187) 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, 100201 + ... + 101039.

It is an arithmetic number, because the mean of its divisors is an integer number (1961960).

Almost surely, 284420180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84420180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

84420180 is an abundant number, since it is smaller than the sum of its proper divisors (198102060).

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

84420180 is a wasteful number, since it uses less digits than its factorization.

84420180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84420180 is about 9188.0454940101. The cubic root of 84420180 is about 438.6809324645.

The spelling of 84420180 in words is "eighty-four million, four hundred twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 839 860 1118 1170 1290 1548 1677 1678 1935 2236 2340 2517 2580 2795 3354 3356 3870 4195 5031 5034 5590 6708 7551 7740 8385 8390 10062 10068 10907 11180 12585 15102 16770 16780 20124 21814 25155 25170 30204 32721 33540 36077 37755 43628 50310 50340 54535 65442 72154 75510 98163 100620 108231 109070 130884 144308 151020 163605 180385 196326 216462 218140 324693 327210 360770 392652 432924 469001 490815 541155 649386 654420 721540 938002 981630 1082310 1298772 1407003 1623465 1876004 1963260 2164620 2345005 2814006 3246930 4221009 4690010 5628012 6493860 7035015 8442018 9380020 14070030 16884036 21105045 28140060 42210090 84420180