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1067268 = 2231931151
BaseRepresentation
bin100000100100100000100
32000020000110
410010210010
5233123033
634513020
712033366
oct4044404
92006013
101067268
11669944
12435770
132b4a27
141dad36
15161363
hex104904

1067268 has 48 divisors (see below), whose sum is σ = 2723840. Its totient is φ = 324000.

The previous prime is 1067263. The next prime is 1067293. The reversal of 1067268 is 8627601.

It is a happy number.

1067268 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×10672682 = 2278121967648, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6993 + ... + 7143.

21067268 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 1067268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361920).

1067268 is an abundant number, since it is smaller than the sum of its proper divisors (1656572).

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

1067268 is a wasteful number, since it uses less digits than its factorization.

1067268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1067268 is about 1033.0866372188. The cubic root of 1067268 is about 102.1937876874.

The spelling of 1067268 in words is "one million, sixty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 151 186 228 302 372 453 589 604 906 1178 1767 1812 2356 2869 3534 4681 5738 7068 8607 9362 11476 14043 17214 18724 28086 34428 56172 88939 177878 266817 355756 533634 1067268