Search a number
-
+
84013083 = 327112103107
BaseRepresentation
bin1010000000111…
…11000000011011
312212002022021200
411000133000123
5133001404313
612200405243
72040046050
oct500370033
9185068250
1084013083
1143472300
1224176823
1314536bab
14b22d027
157597b73
hex501f01b

84013083 has 72 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 42815520.

The previous prime is 84013081. The next prime is 84013121. The reversal of 84013083 is 38031048.

It is not a de Polignac number, because 84013083 - 21 = 84013081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84013081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 785116 + ... + 785222.

It is an arithmetic number, because the mean of its divisors is an integer number (2157792).

Almost surely, 284013083 is an apocalyptic number.

84013083 is a deficient number, since it is larger than the sum of its proper divisors (71347941).

84013083 is a wasteful number, since it uses less digits than its factorization.

84013083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 84013083 is about 9165.8650982872. The cubic root of 84013083 is about 437.9746498120.

The spelling of 84013083 in words is "eighty-four million, thirteen thousand, eighty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 103 107 121 231 309 321 363 693 721 749 847 927 963 1089 1133 1177 2163 2247 2541 3399 3531 6489 6741 7623 7931 8239 10197 10593 11021 12463 12947 23793 24717 33063 37389 38841 71379 74151 77147 87241 90629 99189 112167 116523 121231 231441 261723 271887 363693 694323 785169 815661 848617 1091079 1333541 2545851 4000623 7637553 9334787 12001869 28004361 84013083