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1005312 = 28371117
BaseRepresentation
bin11110101011100000000
31220002000210
43311130000
5224132222
633314120
711354640
oct3653400
91802023
101005312
11627340
12405940
13292779
141c2520
1514cd0c
hexf5700

1005312 has 144 divisors (see below), whose sum is σ = 3532032. Its totient is φ = 245760.

The previous prime is 1005293. The next prime is 1005313. The reversal of 1005312 is 2135001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59128 + ... + 59144.

It is an arithmetic number, because the mean of its divisors is an integer number (24528).

21005312 is an apocalyptic number.

1005312 is a gapful number since it is divisible by the number (12) 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 1005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766016).

1005312 is an abundant number, since it is smaller than the sum of its proper divisors (2526720).

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

1005312 is a wasteful number, since it uses less digits than its factorization.

1005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1005312 is about 1002.6524821692. The cubic root of 1005312 is about 100.1767540626.

The spelling of 1005312 in words is "one million, five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 51 56 64 66 68 77 84 88 96 102 112 119 128 132 136 154 168 176 187 192 204 224 231 238 256 264 272 308 336 352 357 374 384 408 448 462 476 528 544 561 616 672 704 714 748 768 816 896 924 952 1056 1088 1122 1232 1309 1344 1408 1428 1496 1632 1792 1848 1904 2112 2176 2244 2464 2618 2688 2816 2856 2992 3264 3696 3808 3927 4224 4352 4488 4928 5236 5376 5712 5984 6528 7392 7616 7854 8448 8976 9856 10472 11424 11968 13056 14784 15232 15708 17952 19712 20944 22848 23936 29568 30464 31416 35904 41888 45696 47872 59136 62832 71808 83776 91392 125664 143616 167552 251328 335104 502656 1005312