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1086540 = 2235713199
BaseRepresentation
bin100001001010001001100
32001012110020
410021101030
5234232130
635142140
712143520
oct4112114
92035406
101086540
11682374
12444950
132c0730
14203d80
15166e10
hex10944c

1086540 has 96 divisors (see below), whose sum is σ = 3763200. Its totient is φ = 228096.

The previous prime is 1086529. The next prime is 1086557. The reversal of 1086540 is 456801.

1086540 is nontrivially palindromic in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 1086540.

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 31 ways as a sum of consecutive naturals, for example, 5361 + ... + 5559.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

21086540 is an apocalyptic number.

1086540 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 1086540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881600).

1086540 is an abundant number, since it is smaller than the sum of its proper divisors (2676660).

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

1086540 is a wasteful number, since it uses less digits than its factorization.

1086540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1086540 is about 1042.3722943363. The cubic root of 1086540 is about 102.8052372589.

The spelling of 1086540 in words is "one million, eighty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 199 210 260 273 364 390 398 420 455 546 597 780 796 910 995 1092 1194 1365 1393 1820 1990 2388 2587 2730 2786 2985 3980 4179 5174 5460 5572 5970 6965 7761 8358 10348 11940 12935 13930 15522 16716 18109 20895 25870 27860 31044 36218 38805 41790 51740 54327 72436 77610 83580 90545 108654 155220 181090 217308 271635 362180 543270 1086540