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1066240 = 2857217
BaseRepresentation
bin100000100010100000000
32000011121101
410010110000
5233104430
634504144
712030400
oct4042400
92004541
101066240
1166909a
12435054
132b4416
141da800
15160dca
hex104500

1066240 has 108 divisors (see below), whose sum is σ = 3145716. Its totient is φ = 344064.

The previous prime is 1066237. The next prime is 1066253. The reversal of 1066240 is 426601.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 451584 = 784^2 + 672^2 .

It is a super-2 number, since 2×10662402 = 2273735475200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62712 + ... + 62728.

It is an arithmetic number, because the mean of its divisors is an integer number (29127).

21066240 is an apocalyptic number.

1066240 is a gapful number since it is divisible by the number (10) 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 1066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572858).

1066240 is an abundant number, since it is smaller than the sum of its proper divisors (2079476).

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

1066240 is an equidigital number, since it uses as much as digits as its factorization.

1066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1066240 is about 1032.5889792168. The cubic root of 1066240 is about 102.1609658902.

The spelling of 1066240 in words is "one million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 64 68 70 80 85 98 112 119 128 136 140 160 170 196 224 238 245 256 272 280 320 340 392 448 476 490 544 560 595 640 680 784 833 896 952 980 1088 1120 1190 1280 1360 1568 1666 1792 1904 1960 2176 2240 2380 2720 3136 3332 3808 3920 4165 4352 4480 4760 5440 6272 6664 7616 7840 8330 8960 9520 10880 12544 13328 15232 15680 16660 19040 21760 26656 30464 31360 33320 38080 53312 62720 66640 76160 106624 133280 152320 213248 266560 533120 1066240