Search a number
-
+
85000000 = 265717
BaseRepresentation
bin1010001000011…
…11111101000000
312220221110002011
411010033331000
5133230000000
612233502304
72051326261
oct504177500
9186843064
1085000000
1143a86838
1224571994
13147c1177
14b408968
1576e02ba
hex510ff40

85000000 has 112 divisors (see below), whose sum is σ = 223241616. Its totient is φ = 32000000.

The previous prime is 84999979. The next prime is 85000007. The reversal of 85000000 is 58.

Adding to 85000000 its reverse (58), we get a palindrome (85000058).

It can be written as a sum of positive squares in 8 ways, for example, as 75064896 + 9935104 = 8664^2 + 3152^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999992 + ... + 5000008.

Almost surely, 285000000 is an apocalyptic number.

85000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111620808).

85000000 is an abundant number, since it is smaller than the sum of its proper divisors (138241616).

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

85000000 is an frugal number, since it uses more digits than its factorization.

85000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 85000000 is about 9219.5444572929. The cubic root of 85000000 is about 439.6829672158.

The spelling of 85000000 in words is "eighty-five million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 5440 6250 6800 8000 8500 10000 10625 12500 13600 15625 17000 20000 21250 25000 27200 31250 34000 40000 42500 50000 53125 62500 68000 78125 85000 100000 106250 125000 136000 156250 170000 200000 212500 250000 265625 312500 340000 425000 500000 531250 625000 680000 850000 1000000 1062500 1250000 1328125 1700000 2125000 2500000 2656250 3400000 4250000 5000000 5312500 8500000 10625000 17000000 21250000 42500000 85000000