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1001268 = 223373127
BaseRepresentation
bin11110100011100110100
31212212111000
43310130310
5224020033
633243300
711340102
oct3643464
91785430
101001268
116242a4
12403530
13290988
141c0c72
1514ba13
hexf4734

1001268 has 48 divisors (see below), whose sum is σ = 2652160. Its totient is φ = 326592.

The previous prime is 1001267. The next prime is 1001279. The reversal of 1001268 is 8621001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1001268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7821 + ... + 7947.

21001268 is an apocalyptic number.

1001268 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 1001268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326080).

1001268 is an abundant number, since it is smaller than the sum of its proper divisors (1650892).

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

1001268 is a wasteful number, since it uses less digits than its factorization.

1001268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1001268 is about 1000.6337991493. The cubic root of 1001268 is about 100.0422488145.

Adding to 1001268 its reverse (8621001), we get a palindrome (9622269).

The spelling of 1001268 in words is "one million, one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 127 146 219 254 292 381 438 508 657 762 876 1143 1314 1524 1971 2286 2628 3429 3942 4572 6858 7884 9271 13716 18542 27813 37084 55626 83439 111252 166878 250317 333756 500634 1001268