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1086669540 = 2233511216631
BaseRepresentation
bin100000011000101…
…0100001011100100
32210201202112101000
41000301110023210
54211141411130
6255455033300
735633352525
oct10061241344
92721675330
101086669540
1150843aa00
12263b0b830
13144194238
14a446c84c
1565601260
hex40c542e4

1086669540 has 144 divisors (see below), whose sum is σ = 3716254080. Its totient is φ = 263419200.

The previous prime is 1086669503. The next prime is 1086669553. The reversal of 1086669540 is 459666801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57025 + ... + 73655.

It is an arithmetic number, because the mean of its divisors is an integer number (25807320).

Almost surely, 21086669540 is an apocalyptic number.

1086669540 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 1086669540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858127040).

1086669540 is an abundant number, since it is smaller than the sum of its proper divisors (2629584540).

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

1086669540 is a wasteful number, since it uses less digits than its factorization.

1086669540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16671 (or 16652 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1086669540 is about 32964.6710889097. The cubic root of 1086669540 is about 1028.0932266182.

The spelling of 1086669540 in words is "one billion, eighty-six million, six hundred sixty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 16631 21780 32670 33262 49893 65340 66524 83155 99786 149679 166310 182941 199572 249465 299358 332620 365882 449037 498930 548823 598716 731764 748395 898074 914705 997860 1097646 1496790 1646469 1796148 1829410 2012351 2195292 2245185 2744115 2993580 3292938 3658820 4024702 4490370 4939407 5488230 6037053 6585876 8049404 8232345 8980740 9878814 10061755 10976460 12074106 16464690 18111159 19757628 20123510 24148212 24697035 30185265 32929380 36222318 40247020 49394070 54333477 60370530 72444636 90555795 98788140 108666954 120741060 181111590 217333908 271667385 362223180 543334770 1086669540