Search a number
-
+
85904740 = 22517307823
BaseRepresentation
bin1010001111011…
…00110101100100
312222122102011001
411013230311210
5133442422430
612305123044
72062115065
oct507546544
9188572131
1085904740
1144544559
1224929484
1314a49c0c
14b5a256c
15781d3ca
hex51ecd64

85904740 has 48 divisors (see below), whose sum is σ = 191866752. Its totient is φ = 32196096.

The previous prime is 85904711. The next prime is 85904771. The reversal of 85904740 is 4740958.

It is a self number, because there is not a number n which added to its sum of digits gives 85904740.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103969 + ... + 104791.

It is an arithmetic number, because the mean of its divisors is an integer number (3997224).

Almost surely, 285904740 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 85904740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95933376).

85904740 is an abundant number, since it is smaller than the sum of its proper divisors (105962012).

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

85904740 is a wasteful number, since it uses less digits than its factorization.

85904740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 85904740 is about 9268.4809974451. The cubic root of 85904740 is about 441.2374600197.

The spelling of 85904740 in words is "eighty-five million, nine hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 307 340 614 823 1228 1535 1646 3070 3292 4115 5219 6140 8230 10438 13991 16460 20876 26095 27982 52190 55964 69955 104380 139910 252661 279820 505322 1010644 1263305 2526610 4295237 5053220 8590474 17180948 21476185 42952370 85904740