Search a number
-
+
84314070 = 23252234201
BaseRepresentation
bin1010000011010…
…00011111010110
312212122121011100
411001220133112
5133041022240
612211050530
72042441421
oct501503726
9185577140
1084314070
1143658455
12242a0a46
1314610ba9
14b2aa9b8
157606e30
hex50687d6

84314070 has 48 divisors (see below), whose sum is σ = 220252032. Its totient is φ = 22377600.

The previous prime is 84314057. The next prime is 84314117. The reversal of 84314070 is 7041348.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17970 + ... + 22170.

It is an arithmetic number, because the mean of its divisors is an integer number (4588584).

Almost surely, 284314070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84314070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110126016).

84314070 is an abundant number, since it is smaller than the sum of its proper divisors (135937962).

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

84314070 is a wasteful number, since it uses less digits than its factorization.

84314070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84314070 is about 9182.2693273504. The cubic root of 84314070 is about 438.4970587745.

The spelling of 84314070 in words is "eighty-four million, three hundred fourteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 3345 4014 4201 6690 8402 10035 12603 20070 21005 25206 37809 42010 63015 75618 126030 189045 378090 936823 1873646 2810469 4684115 5620938 8431407 9368230 14052345 16862814 28104690 42157035 84314070