Search a number
-
+
1086120 = 233257431
BaseRepresentation
bin100001001001010101000
32001011212200
410021022220
5234223440
635140200
712142350
oct4111250
92034780
101086120
11682022
12444660
132c0499
14203b60
15166c30
hex1092a8

1086120 has 96 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 247680.

The previous prime is 1086119. The next prime is 1086133. The reversal of 1086120 is 216801.

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

It is a junction number, because it is equal to n+sod(n) for n = 1086093 and 1086102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

21086120 is an apocalyptic number.

1086120 is a gapful number since it is divisible by the number (10) 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 1086120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021760).

1086120 is an abundant number, since it is smaller than the sum of its proper divisors (2957400).

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

1086120 is a wasteful number, since it uses less digits than its factorization.

1086120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1086120 is about 1042.1708113356. The cubic root of 1086120 is about 102.7919891611.

The spelling of 1086120 in words is "one million, eighty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 431 504 630 840 862 1260 1293 1724 2155 2520 2586 3017 3448 3879 4310 5172 6034 6465 7758 8620 9051 10344 12068 12930 15085 15516 17240 18102 19395 24136 25860 27153 30170 31032 36204 38790 45255 51720 54306 60340 72408 77580 90510 108612 120680 135765 155160 181020 217224 271530 362040 543060 1086120