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85843380 = 22357313653
BaseRepresentation
bin1010001110111…
…01110110110100
312222112021222110
411013131312310
5133433442010
612303531020
72061441150
oct507356664
9188467873
1085843380
1144502447
12248b9a70
1314a27ccc
14b588060
15780a120
hex51dddb4

85843380 has 96 divisors (see below), whose sum is σ = 275998464. Its totient is φ = 19528704.

The previous prime is 85843379. The next prime is 85843399. The reversal of 85843380 is 8334858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131134 + ... + 131786.

It is an arithmetic number, because the mean of its divisors is an integer number (2874984).

Almost surely, 285843380 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 85843380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137999232).

85843380 is an abundant number, since it is smaller than the sum of its proper divisors (190155084).

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

85843380 is a wasteful number, since it uses less digits than its factorization.

85843380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 85843380 is about 9265.1702628716. The cubic root of 85843380 is about 441.1323793636.

The spelling of 85843380 in words is "eighty-five million, eight hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 653 939 1252 1306 1565 1878 1959 2191 2612 3130 3265 3756 3918 4382 4571 4695 6260 6530 6573 7836 8764 9142 9390 9795 10955 13060 13146 13713 18284 18780 19590 21910 22855 26292 27426 32865 39180 43820 45710 54852 65730 68565 91420 131460 137130 204389 274260 408778 613167 817556 1021945 1226334 1430723 2043890 2452668 2861446 3065835 4087780 4292169 5722892 6131670 7153615 8584338 12263340 14307230 17168676 21460845 28614460 42921690 85843380