Search a number
-
+
85160010 = 23513593701
BaseRepresentation
bin1010001001101…
…11000001001010
312221020120120110
411010313001022
5133300110020
612241135150
72052563625
oct504670112
9187216513
1085160010
1144085a81
122462a4b6
1314848c50
14b44adbc
1577228e0
hex513704a

85160010 has 64 divisors (see below), whose sum is σ = 223896960. Its totient is φ = 20601600.

The previous prime is 85159939. The next prime is 85160017. The reversal of 85160010 is 1006158.

It is not an unprimeable number, because it can be changed into a prime (85160017) 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 31 ways as a sum of consecutive naturals, for example, 21160 + ... + 24860.

It is an arithmetic number, because the mean of its divisors is an integer number (3498390).

Almost surely, 285160010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85160010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111948480).

85160010 is an abundant number, since it is smaller than the sum of its proper divisors (138736950).

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

85160010 is a wasteful number, since it uses less digits than its factorization.

85160010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 85160010 is about 9228.2181378639. The cubic root of 85160010 is about 439.9586910254.

Adding to 85160010 its reverse (1006158), we get a palindrome (86166168).

The spelling of 85160010 in words is "eighty-five million, one hundred sixty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 590 767 885 1534 1770 2301 3701 3835 4602 7402 7670 11103 11505 18505 22206 23010 37010 48113 55515 96226 111030 144339 218359 240565 288678 436718 481130 655077 721695 1091795 1310154 1443390 2183590 2838667 3275385 5677334 6550770 8516001 14193335 17032002 28386670 42580005 85160010