Search a number
-
+
85783830 = 235111911361
BaseRepresentation
bin1010001110011…
…11010100010110
312222102021021220
411013033110112
5133430040310
612302351210
72061102426
oct507172426
9188367256
1085783830
1144471730
122488b506
1314a06b82
14b570486
1577e7670
hex51cf516

85783830 has 64 divisors (see below), whose sum is σ = 225939456. Its totient is φ = 20672000.

The previous prime is 85783829. The next prime is 85783861. The reversal of 85783830 is 3838758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62350 + ... + 63710.

It is an arithmetic number, because the mean of its divisors is an integer number (3530304).

Almost surely, 285783830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85783830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112969728).

85783830 is an abundant number, since it is smaller than the sum of its proper divisors (140155626).

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

85783830 is a wasteful number, since it uses less digits than its factorization.

85783830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 85783830 is about 9261.9560569029. The cubic root of 85783830 is about 441.0303504906.

The spelling of 85783830 in words is "eighty-five million, seven hundred eighty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 382 573 955 1146 1361 1910 2101 2722 2865 4083 4202 5730 6303 6805 8166 10505 12606 13610 14971 20415 21010 29942 31515 40830 44913 63030 74855 89826 149710 224565 259951 449130 519902 779853 1299755 1559706 2599510 2859461 3899265 5718922 7798530 8578383 14297305 17156766 28594610 42891915 85783830