[go: up one dir, main page]

Search a number
-
+
85016010 = 23537191401
BaseRepresentation
bin1010001000100…
…11110111001010
312220222021001010
411010103313022
5133231003020
612234104350
72051424042
oct504236712
9186867033
1085016010
1143a97872
122457b0b6
13147c8541
14b410722
1576e4de0
hex5113dca

85016010 has 64 divisors (see below), whose sum is σ = 211175424. Its totient is φ = 21888000.

The previous prime is 85015999. The next prime is 85016011. The reversal of 85016010 is 1061058.

It is not an unprimeable number, because it can be changed into a prime (85016011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211810 + ... + 212210.

It is an arithmetic number, because the mean of its divisors is an integer number (3299616).

Almost surely, 285016010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85016010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105587712).

85016010 is an abundant number, since it is smaller than the sum of its proper divisors (126159414).

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

85016010 is a wasteful number, since it uses less digits than its factorization.

85016010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639.

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

The square root of 85016010 is about 9220.4126805691. The cubic root of 85016010 is about 439.7105706762.

Adding to 85016010 its reverse (1061058), we get a palindrome (86077068).

The spelling of 85016010 in words is "eighty-five million, sixteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 191 222 370 382 401 555 573 802 955 1110 1146 1203 1910 2005 2406 2865 4010 5730 6015 7067 12030 14134 14837 21201 29674 35335 42402 44511 70670 74185 76591 89022 106005 148370 153182 212010 222555 229773 382955 445110 459546 765910 1148865 2297730 2833867 5667734 8501601 14169335 17003202 28338670 42508005 85016010