Search a number
-
+
85035510 = 2325743273
BaseRepresentation
bin1010001000110…
…00100111110110
312221000020210100
411010120213312
5133232114020
612234334530
72051534640
oct504304766
9187006710
1085035510
114400048a
122458a446
1314804391
14b417890
1576eaa90
hex51189f6

85035510 has 144 divisors (see below), whose sum is σ = 262233504. Its totient is φ = 18724608.

The previous prime is 85035497. The next prime is 85035523. The reversal of 85035510 is 1553058.

It is an interprime number because it is at equal distance from previous prime (85035497) and next prime (85035523).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1164834 + ... + 1164906.

It is an arithmetic number, because the mean of its divisors is an integer number (1821066).

Almost surely, 285035510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85035510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131116752).

85035510 is an abundant number, since it is smaller than the sum of its proper divisors (177197994).

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

85035510 is a wasteful number, since it uses less digits than its factorization.

85035510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 85035510 is about 9221.4700563413. The cubic root of 85035510 is about 439.7441867000.

Adding to 85035510 its reverse (1553058), we get a palindrome (86588568).

The spelling of 85035510 in words is "eighty-five million, thirty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 73 86 90 105 126 129 146 210 215 219 258 301 315 365 387 430 438 511 602 630 645 657 730 774 903 1022 1095 1290 1314 1505 1533 1806 1849 1935 2190 2555 2709 3010 3066 3139 3285 3698 3870 4515 4599 5110 5418 5547 6278 6570 7665 9030 9198 9245 9417 11094 12943 13545 15330 15695 16641 18490 18834 21973 22995 25886 27090 27735 28251 31390 33282 38829 43946 45990 47085 55470 56502 64715 65919 77658 83205 94170 109865 116487 129430 131838 134977 141255 166410 194145 197757 219730 232974 269954 282510 329595 388290 395514 404931 582435 659190 674885 809862 944839 988785 1164870 1214793 1349770 1889678 1977570 2024655 2429586 2834517 4049310 4724195 5669034 6073965 8503551 9448390 12147930 14172585 17007102 28345170 42517755 85035510