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1085364 = 223275973
BaseRepresentation
bin100001000111110110100
32001010211200
410020332310
5234212424
635132500
712140220
oct4107664
92033750
101085364
116814a5
12444130
132c0037
14203780
151668c9
hex108fb4

1085364 has 72 divisors (see below), whose sum is σ = 3232320. Its totient is φ = 300672.

The previous prime is 1085353. The next prime is 1085369. The reversal of 1085364 is 4635801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085369) 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, 14832 + ... + 14904.

21085364 is an apocalyptic number.

1085364 is a gapful number since it is divisible by the number (14) 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 1085364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616160).

1085364 is an abundant number, since it is smaller than the sum of its proper divisors (2146956).

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

1085364 is a wasteful number, since it uses less digits than its factorization.

1085364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1085364 is about 1041.8080437393. The cubic root of 1085364 is about 102.7681339760.

The spelling of 1085364 in words is "one million, eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 73 84 118 126 146 177 219 236 252 292 354 413 438 511 531 657 708 826 876 1022 1062 1239 1314 1533 1652 2044 2124 2478 2628 3066 3717 4307 4599 4956 6132 7434 8614 9198 12921 14868 17228 18396 25842 30149 38763 51684 60298 77526 90447 120596 155052 180894 271341 361788 542682 1085364