Search a number
-
+
85108200 = 23352831709
BaseRepresentation
bin1010001001010…
…10010111101000
312221010221111120
411010222113220
5133241430300
612240055240
72052256602
oct504522750
9187127446
1085108200
1144050061
1224604520
131482b4a8
14b436172
1577123a0
hex512a5e8

85108200 has 96 divisors (see below), whose sum is σ = 267170400. Its totient is φ = 22408960.

The previous prime is 85108193. The next prime is 85108229. The reversal of 85108200 is 280158.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48946 + ... + 50654.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 285108200 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 85108200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

85108200 is an abundant number, since it is smaller than the sum of its proper divisors (182062200).

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

85108200 is a wasteful number, since it uses less digits than its factorization.

85108200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 85108200 is about 9225.4105599697. The cubic root of 85108200 is about 439.8694516281.

Adding to 85108200 its reverse (280158), we get a palindrome (85388358).

The spelling of 85108200 in words is "eighty-five million, one hundred eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1709 1992 2075 2490 3320 3418 4150 4980 5127 6225 6836 8300 8545 9960 10254 12450 13672 16600 17090 20508 24900 25635 34180 41016 42725 49800 51270 68360 85450 102540 128175 141847 170900 205080 256350 283694 341800 425541 512700 567388 709235 851082 1025400 1134776 1418470 1702164 2127705 2836940 3404328 3546175 4255410 5673880 7092350 8510820 10638525 14184700 17021640 21277050 28369400 42554100 85108200