Search a number
-
+
1085724 = 22351117
BaseRepresentation
bin100001001000100011100
32001011100000
410021010130
5234220344
635134300
712141243
oct4110434
92034300
101085724
116817a2
12444390
132c0253
1420395a
15166a69
hex10911c

1085724 has 36 divisors (see below), whose sum is σ = 2848664. Its totient is φ = 361584.

The previous prime is 1085719. The next prime is 1085737. The reversal of 1085724 is 4275801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 414 + ... + 1530.

21085724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424332).

1085724 is an abundant number, since it is smaller than the sum of its proper divisors (1762940).

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

1085724 is a wasteful number, since it uses less digits than its factorization.

1085724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1085724 is about 1041.9808059653. The cubic root of 1085724 is about 102.7794949690.

It can be divided in two parts, 108 and 5724, that added together give a cube (5832 = 183).

The spelling of 1085724 in words is "one million, eighty-five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1117 2234 3351 4468 6702 10053 13404 20106 30159 40212 60318 90477 120636 180954 271431 361908 542862 1085724