Search a number
-
+
1086008 = 237114143
BaseRepresentation
bin100001001001000111000
32001011201112
410021020320
5234223013
635135452
712142130
oct4111070
92034645
101086008
11681a30
12444588
132c0411
14203ac0
15166ba8
hex109238

1086008 has 64 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 403200.

The previous prime is 1085989. The next prime is 1086031. The reversal of 1086008 is 8006801.

It can be divided in two parts, 108 and 6008, that added together give a palindrome (6116).

1086008 is a nontrivial binomial coefficient, being equal to C(44, 5).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25235 + ... + 25277.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

21086008 is an apocalyptic number.

1086008 is the 602-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

1086008 is an abundant number, since it is smaller than the sum of its proper divisors (1575112).

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

1086008 is a wasteful number, since it uses less digits than its factorization.

1086008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1086008 is about 1042.1170759564. The cubic root of 1086008 is about 102.7884557583.

The spelling of 1086008 in words is "one million, eighty-six thousand, eight".

Divisors: 1 2 4 7 8 11 14 22 28 41 43 44 56 77 82 86 88 154 164 172 287 301 308 328 344 451 473 574 602 616 902 946 1148 1204 1763 1804 1892 2296 2408 3157 3311 3526 3608 3784 6314 6622 7052 12341 12628 13244 14104 19393 24682 25256 26488 38786 49364 77572 98728 135751 155144 271502 543004 1086008