Search a number
-
+
85210530 = 23547223271
BaseRepresentation
bin1010001010000…
…11010110100010
312221100010212120
411011003112202
5133303214110
612242205110
72053164126
oct505032642
9187303776
1085210530
114410aa29
1224653796
1314865c42
14b461586
157732870
hex51435a2

85210530 has 64 divisors (see below), whose sum is σ = 210567168. Its totient is φ = 22057920.

The previous prime is 85210529. The next prime is 85210571. The reversal of 85210530 is 3501258.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85210530.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314295 + ... + 314565.

It is an arithmetic number, because the mean of its divisors is an integer number (3290112).

Almost surely, 285210530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85210530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105283584).

85210530 is an abundant number, since it is smaller than the sum of its proper divisors (125356638).

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

85210530 is a wasteful number, since it uses less digits than its factorization.

85210530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85210530 is about 9230.9549885155. The cubic root of 85210530 is about 440.0456736334.

Adding to 85210530 its reverse (3501258), we get a palindrome (88711788).

The spelling of 85210530 in words is "eighty-five million, two hundred ten thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 223 235 271 282 446 470 542 669 705 813 1115 1338 1355 1410 1626 2230 2710 3345 4065 6690 8130 10481 12737 20962 25474 31443 38211 52405 60433 62886 63685 76422 104810 120866 127370 157215 181299 191055 302165 314430 362598 382110 604330 906495 1812990 2840351 5680702 8521053 14201755 17042106 28403510 42605265 85210530