Search a number
-
+
84213396 = 2232192353101
BaseRepresentation
bin1010000010011…
…11111010010100
312212110111001200
411001033322110
5133024312041
612204552500
72041542051
oct501177224
9185414050
1084213396
1143599853
1224252730
13145a7117
14b282028
1575d71b6
hex504fe94

84213396 has 144 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 24710400.

The previous prime is 84213379. The next prime is 84213401. The reversal of 84213396 is 69331248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84213396.

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 47 ways as a sum of consecutive naturals, for example, 833746 + ... + 833846.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 284213396 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 84213396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

84213396 is an abundant number, since it is smaller than the sum of its proper divisors (156376044).

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

84213396 is a wasteful number, since it uses less digits than its factorization.

84213396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 84213396 is about 9176.7857117838. The cubic root of 84213396 is about 438.3224622337.

The spelling of 84213396 in words is "eighty-four million, two hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 53 57 69 76 92 101 106 114 138 159 171 202 207 212 228 276 303 318 342 404 414 437 477 606 636 684 828 874 909 954 1007 1212 1219 1311 1748 1818 1908 1919 2014 2323 2438 2622 3021 3636 3657 3838 3933 4028 4646 4876 5244 5353 5757 6042 6969 7314 7676 7866 9063 9292 10706 10971 11514 12084 13938 14628 15732 16059 17271 18126 20907 21412 21942 23028 23161 27876 32118 34542 36252 41814 43884 44137 46322 48177 64236 69084 69483 83628 88274 92644 96354 101707 123119 132411 138966 176548 192708 203414 208449 246238 264822 277932 305121 369357 397233 406828 416898 492476 529644 610242 738714 794466 833796 915363 1108071 1220484 1477428 1588932 1830726 2216142 2339261 3661452 4432284 4678522 7017783 9357044 14035566 21053349 28071132 42106698 84213396