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1085920 = 25511617
BaseRepresentation
bin100001001000111100000
32001011121021
410021013200
5234222140
635135224
712141643
oct4110740
92034537
101085920
11681960
12444514
132c0374
14203a5a
15166b4a
hex1091e0

1085920 has 48 divisors (see below), whose sum is σ = 2803248. Its totient is φ = 394240.

The previous prime is 1085911. The next prime is 1085933. The reversal of 1085920 is 295801.

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 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 2068.

It is an arithmetic number, because the mean of its divisors is an integer number (58401).

21085920 is an apocalyptic number.

1085920 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 1085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401624).

1085920 is an abundant number, since it is smaller than the sum of its proper divisors (1717328).

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

1085920 is a wasteful number, since it uses less digits than its factorization.

1085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 1085920 is about 1042.0748533575. The cubic root of 1085920 is about 102.7856793427.

The spelling of 1085920 in words is "one million, eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 617 880 1234 1760 2468 3085 4936 6170 6787 9872 12340 13574 19744 24680 27148 33935 49360 54296 67870 98720 108592 135740 217184 271480 542960 1085920