Search a number
-
+
851360 = 25517313
BaseRepresentation
bin11001111110110100000
31121020211212
43033312200
5204220420
630125252
710144046
oct3176640
91536755
10851360
11531704
12350828
1323a683
14182396
1511c3c5
hexcfda0

851360 has 48 divisors (see below), whose sum is σ = 2136456. Its totient is φ = 319488.

The previous prime is 851359. The next prime is 851363. The reversal of 851360 is 63158.

It can be written as a sum of positive squares in 4 ways, for example, as 524176 + 327184 = 724^2 + 572^2 .

It is not an unprimeable number, because it can be changed into a prime (851363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2564 + ... + 2876.

2851360 is an apocalyptic number.

851360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068228).

851360 is an abundant number, since it is smaller than the sum of its proper divisors (1285096).

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

851360 is a wasteful number, since it uses less digits than its factorization.

851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 851360 is about 922.6917144962. The cubic root of 851360 is about 94.7773177706. Note that the first 3 decimals are identical.

It can be divided in two parts, 85 and 1360, that multiplied together give a square (115600 = 3402).

The spelling of 851360 in words is "eight hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 313 340 544 626 680 1252 1360 1565 2504 2720 3130 5008 5321 6260 10016 10642 12520 21284 25040 26605 42568 50080 53210 85136 106420 170272 212840 425680 851360