Search a number
-
+
84075327 = 357223307
BaseRepresentation
bin1010000001011…
…10001100111111
312212012110200000
411000232030333
5133010402302
612202005343
72040425400
oct500561477
9185173600
1084075327
1143505046
12241a6853
131455931b
14b2479a7
1575ab31c
hex502e33f

84075327 has 72 divisors (see below), whose sum is σ = 153369216. Its totient is φ = 45804528.

The previous prime is 84075269. The next prime is 84075337. The reversal of 84075327 is 72357048.

It is not a de Polignac number, because 84075327 - 210 = 84074303 is a prime.

It is a super-2 number, since 2×840753272 = 14137321220313858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84075291 and 84075300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84075337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273708 + ... + 274014.

It is an arithmetic number, because the mean of its divisors is an integer number (2130128).

Almost surely, 284075327 is an apocalyptic number.

84075327 is a deficient number, since it is larger than the sum of its proper divisors (69293889).

84075327 is a wasteful number, since it uses less digits than its factorization.

84075327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 84075327 is about 9169.2598937973. The cubic root of 84075327 is about 438.0827860030.

It can be divided in two parts, 840 and 75327, that added together give a palindrome (76167).

The spelling of 84075327 in words is "eighty-four million, seventy-five thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 243 307 441 483 567 621 921 1127 1323 1449 1701 1863 2149 2763 3381 3969 4347 5589 6447 7061 8289 10143 11907 13041 15043 19341 21183 24867 30429 39123 45129 49427 58023 63549 74601 91287 135387 148281 174069 190647 273861 345989 406161 444843 522207 571941 1037967 1218483 1334529 1715823 3113901 3655449 4003587 9341703 12010761 28025109 84075327