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1085448 = 233721371
BaseRepresentation
bin100001001000000001000
32001010221210
410021000020
5234213243
635133120
712140400
oct4110010
92033853
101085448
11681571
124441a0
132c00a0
14203800
15166933
hex109008

1085448 has 96 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 282240.

The previous prime is 1085443. The next prime is 1085459. The reversal of 1085448 is 8445801.

It is not an unprimeable number, because it can be changed into a prime (1085443) 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, 15253 + ... + 15323.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

21085448 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 1085448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1085448 is an abundant number, since it is smaller than the sum of its proper divisors (2361912).

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

1085448 is a wasteful number, since it uses less digits than its factorization.

1085448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1085448 is about 1041.8483574878. The cubic root of 1085448 is about 102.7707850990.

It can be divided in two parts, 10 and 85448, that added together give a palindrome (85458).

The spelling of 1085448 in words is "one million, eighty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 71 78 84 91 98 104 142 147 156 168 182 196 213 273 284 294 312 364 392 426 497 546 568 588 637 728 852 923 994 1092 1176 1274 1491 1704 1846 1911 1988 2184 2548 2769 2982 3479 3692 3822 3976 5096 5538 5964 6461 6958 7384 7644 10437 11076 11928 12922 13916 15288 19383 20874 22152 25844 27832 38766 41748 45227 51688 77532 83496 90454 135681 155064 180908 271362 361816 542724 1085448