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1085744 = 241131199
BaseRepresentation
bin100001001000100110000
32001011100202
410021010300
5234220434
635134332
712141302
oct4110460
92034322
101085744
11681810
124443a8
132c026a
14203972
15166a7e
hex109130

1085744 has 40 divisors (see below), whose sum is σ = 2380800. Its totient is φ = 475200.

The previous prime is 1085737. The next prime is 1085753. The reversal of 1085744 is 4475801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5357 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (59520).

21085744 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 1085744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190400).

1085744 is an abundant number, since it is smaller than the sum of its proper divisors (1295056).

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

1085744 is a wasteful number, since it uses less digits than its factorization.

1085744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 1085744 is about 1041.9904030268. The cubic root of 1085744 is about 102.7801260617.

It can be divided in two parts, 10857 and 44, that added together give a palindrome (10901).

The spelling of 1085744 in words is "one million, eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 199 248 341 398 496 682 796 1364 1592 2189 2728 3184 4378 5456 6169 8756 12338 17512 24676 35024 49352 67859 98704 135718 271436 542872 1085744