Search a number
-
+
85400120 = 23513164231
BaseRepresentation
bin1010001011100…
…01101000111000
312221200202221102
411011301220320
5133330300440
612250230532
72054613641
oct505615070
9187622842
1085400120
114422a413
1224725448
1314901320
14b4b06c8
15776db15
hex5171a38

85400120 has 32 divisors (see below), whose sum is σ = 206932320. Its totient is φ = 31532160.

The previous prime is 85400113. The next prime is 85400131. The reversal of 85400120 is 2100458.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 85400092 and 85400101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81596 + ... + 82635.

It is an arithmetic number, because the mean of its divisors is an integer number (6466635).

Almost surely, 285400120 is an apocalyptic number.

It is an amenable number.

85400120 is an abundant number, since it is smaller than the sum of its proper divisors (121532200).

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

85400120 is a wasteful number, since it uses less digits than its factorization.

85400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164255 (or 164251 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 85400120 is about 9241.2185343709. The cubic root of 85400120 is about 440.3717931900.

Adding to 85400120 its reverse (2100458), we get a palindrome (87500578).

The spelling of 85400120 in words is "eighty-five million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 164231 328462 656924 821155 1313848 1642310 2135003 3284620 4270006 6569240 8540012 10675015 17080024 21350030 42700060 85400120