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851130 = 232572193
BaseRepresentation
bin11001111110010111010
31121020112100
43033302322
5204214010
630124230
710143300
oct3176272
91536470
10851130
11531515
12350676
1323a537
14182270
1511c2c0
hexcfcba

851130 has 72 divisors (see below), whose sum is σ = 2587572. Its totient is φ = 193536.

The previous prime is 851117. The next prime is 851131. The reversal of 851130 is 31158.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 815409 + 35721 = 903^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (851131) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4314 + ... + 4506.

2851130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293786).

851130 is an abundant number, since it is smaller than the sum of its proper divisors (1736442).

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

851130 is a wasteful number, since it uses less digits than its factorization.

851130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 851130 is about 922.5670707325. The cubic root of 851130 is about 94.7687821154.

Adding to 851130 its reverse (31158), we get a palindrome (882288).

The spelling of 851130 in words is "eight hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 193 210 245 294 315 386 441 490 579 630 735 882 965 1158 1351 1470 1737 1930 2205 2702 2895 3474 4053 4410 5790 6755 8106 8685 9457 12159 13510 17370 18914 20265 24318 28371 40530 47285 56742 60795 85113 94570 121590 141855 170226 283710 425565 851130