Search a number
-
+
84054390 = 2357735483
BaseRepresentation
bin1010000001010…
…01000101110110
312212011101221120
411000221011312
5133004220030
612201324410
72040310350
oct500510566
9185141846
1084054390
11434a0342
1224196706
131454c934
14b2400d0
1575a5010
hex5029176

84054390 has 64 divisors (see below), whose sum is σ = 233750016. Its totient is φ = 18945792.

The previous prime is 84054389. The next prime is 84054391. The reversal of 84054390 is 9345048.

It is an interprime number because it is at equal distance from previous prime (84054389) and next prime (84054391).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84054391) 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 31 ways as a sum of consecutive naturals, for example, 12589 + ... + 18071.

It is an arithmetic number, because the mean of its divisors is an integer number (3652344).

Almost surely, 284054390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84054390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116875008).

84054390 is an abundant number, since it is smaller than the sum of its proper divisors (149695626).

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

84054390 is a wasteful number, since it uses less digits than its factorization.

84054390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 84054390 is about 9168.1181275112. The cubic root of 84054390 is about 438.0464182160.

The spelling of 84054390 in words is "eighty-four million, fifty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2555 3066 5110 5483 7665 10966 15330 16449 27415 32898 38381 54830 76762 82245 115143 164490 191905 230286 383810 400259 575715 800518 1151430 1200777 2001295 2401554 2801813 4002590 5603626 6003885 8405439 12007770 14009065 16810878 28018130 42027195 84054390