[go: up one dir, main page]

Search a number
-
+
84071196 = 2236112621
BaseRepresentation
bin1010000001011…
…01001100011100
312212012021000000
411000231030130
5133010234241
612201534300
72040410346
oct500551434
9185167000
1084071196
1143501a30
12241a4390
1314557491
14b246296
1575a9eb6
hex502d31c

84071196 has 84 divisors (see below), whose sum is σ = 240731064. Its totient is φ = 25466400.

The previous prime is 84071191. The next prime is 84071227. The reversal of 84071196 is 69117048.

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 84071196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84071191) 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 27 ways as a sum of consecutive naturals, for example, 30766 + ... + 33386.

It is an arithmetic number, because the mean of its divisors is an integer number (2865846).

Almost surely, 284071196 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 84071196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120365532).

84071196 is an abundant number, since it is smaller than the sum of its proper divisors (156659868).

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

84071196 is a wasteful number, since it uses less digits than its factorization.

84071196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 84071196 is about 9169.0346274840. The cubic root of 84071196 is about 438.0756108912.

The spelling of 84071196 in words is "eighty-four million, seventy-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2621 2673 2916 3564 5242 5346 7863 8019 10484 10692 15726 16038 23589 28831 31452 32076 47178 57662 70767 86493 94356 115324 141534 172986 212301 259479 283068 345972 424602 518958 636903 778437 849204 1037916 1273806 1556874 1910709 2335311 2547612 3113748 3821418 4670622 7005933 7642836 9341244 14011866 21017799 28023732 42035598 84071196