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1085310 = 232531389
BaseRepresentation
bin100001000111101111110
32001010202200
410020331332
5234212220
635132330
712140112
oct4107576
92033680
101085310
11681456
124440a6
132bccc5
14203742
15166890
hex108f7e

1085310 has 48 divisors (see below), whose sum is σ = 2920320. Its totient is φ = 279360.

The previous prime is 1085309. The next prime is 1085317. The reversal of 1085310 is 135801.

It is a happy number.

It is a super-2 number, since 2×10853102 = 2355795592200, which contains 22 as substring.

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 (1085317) 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, 2596 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (60840).

21085310 is an apocalyptic number.

1085310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460160).

1085310 is an abundant number, since it is smaller than the sum of its proper divisors (1835010).

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

1085310 is a wasteful number, since it uses less digits than its factorization.

1085310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1085310 is about 1041.7821269344. The cubic root of 1085310 is about 102.7664296103.

The spelling of 1085310 in words is "one million, eighty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 389 465 558 778 930 1167 1395 1945 2334 2790 3501 3890 5835 7002 11670 12059 17505 24118 35010 36177 60295 72354 108531 120590 180885 217062 361770 542655 1085310