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1085040 = 2432511137
BaseRepresentation
bin100001000111001110000
32001010101200
410020321300
5234210130
635131200
712136245
oct4107160
92033350
101085040
11681230
12443b00
132bcb48
142035cc
15166760
hex108e70

1085040 has 120 divisors (see below), whose sum is σ = 4004208. Its totient is φ = 261120.

The previous prime is 1085023. The next prime is 1085047. The reversal of 1085040 is 405801.

Added to its reverse (405801) it gives a square (1490841 = 12212).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7852 + ... + 7988.

21085040 is an apocalyptic number.

1085040 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 1085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002104).

1085040 is an abundant number, since it is smaller than the sum of its proper divisors (2919168).

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

1085040 is a wasteful number, since it uses less digits than its factorization.

1085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1085040 is about 1041.6525332375. The cubic root of 1085040 is about 102.7579069341.

Adding to 1085040 its reverse (405801), we get a square (1490841 = 12212).

The spelling of 1085040 in words is "one million, eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 137 144 165 176 180 198 220 240 264 274 330 360 396 411 440 495 528 548 660 685 720 792 822 880 990 1096 1233 1320 1370 1507 1584 1644 1980 2055 2192 2466 2640 2740 3014 3288 3960 4110 4521 4932 5480 6028 6165 6576 7535 7920 8220 9042 9864 10960 12056 12330 13563 15070 16440 18084 19728 22605 24112 24660 27126 30140 32880 36168 45210 49320 54252 60280 67815 72336 90420 98640 108504 120560 135630 180840 217008 271260 361680 542520 1085040