Base | Representation |
---|---|
bin | 1010001110000… |
… | …10001011110100 |
3 | 12222022112111112 |
4 | 11013002023310 |
5 | 133421330121 |
6 | 12301254152 |
7 | 2060456540 |
oct | 507021364 |
9 | 188275445 |
10 | 85730036 |
11 | 44435277 |
12 | 24864358 |
13 | 149b8542 |
14 | b558a20 |
15 | 77d675b |
hex | 51c22f4 |
85730036 has 48 divisors (see below), whose sum is σ = 178394496. Its totient is φ = 35282304.
The previous prime is 85730027. The next prime is 85730041. The reversal of 85730036 is 63003758.
It is a happy number.
It is a super-2 number, since 2×857300362 = 14699278145122592, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 85729984 and 85730011.
It is a congruent number.
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, 85490 + ... + 86486.
It is an arithmetic number, because the mean of its divisors is an integer number (3716552).
Almost surely, 285730036 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 85730036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89197248).
85730036 is an abundant number, since it is smaller than the sum of its proper divisors (92664460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85730036 is a wasteful number, since it uses less digits than its factorization.
85730036 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1128 (or 1126 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 32.
The square root of 85730036 is about 9259.0515713004. The cubic root of 85730036 is about 440.9381429515.
The spelling of 85730036 in words is "eighty-five million, seven hundred thirty thousand, thirty-six".
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