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1093248 = 27321373
BaseRepresentation
bin100001010111010000000
32001112122200
410022322000
5234440443
635233200
712202212
oct4127200
92045580
101093248
11687412
12448800
132c37c0
142065b2
15168dd3
hex10ae80

1093248 has 96 divisors (see below), whose sum is σ = 3434340. Its totient is φ = 331776.

The previous prime is 1093243. The next prime is 1093249. The reversal of 1093248 is 8423901.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 28224 = 1032^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1093243) by changing a digit.

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, 14940 + ... + 15012.

21093248 is an apocalyptic number.

1093248 is a gapful number since it is divisible by the number (18) 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 1093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717170).

1093248 is an abundant number, since it is smaller than the sum of its proper divisors (2341092).

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

1093248 is a wasteful number, since it uses less digits than its factorization.

1093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1093248 is about 1045.5850037180. The cubic root of 1093248 is about 103.0163671480.

The spelling of 1093248 in words is "one million, ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 73 78 96 104 117 128 144 146 156 192 208 219 234 288 292 312 384 416 438 468 576 584 624 657 832 876 936 949 1152 1168 1248 1314 1664 1752 1872 1898 2336 2496 2628 2847 3504 3744 3796 4672 4992 5256 5694 7008 7488 7592 8541 9344 10512 11388 14016 14976 15184 17082 21024 22776 28032 30368 34164 42048 45552 60736 68328 84096 91104 121472 136656 182208 273312 364416 546624 1093248