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1068012 = 2233112931
BaseRepresentation
bin100000100101111101100
32000021001000
410010233230
5233134022
634520300
712035511
oct4045754
92007030
101068012
1166a460
12436090
132b517a
141db308
151616ac
hex104bec

1068012 has 96 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 302400.

The previous prime is 1067999. The next prime is 1068019. The reversal of 1068012 is 2108601.

It is a super-2 number, since 2×10680122 = 2281299264288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1068019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34437 + ... + 34467.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

21068012 is an apocalyptic number.

1068012 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 1068012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

1068012 is an abundant number, since it is smaller than the sum of its proper divisors (2157588).

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

1068012 is a wasteful number, since it uses less digits than its factorization.

1068012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

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

The square root of 1068012 is about 1033.4466604523. The cubic root of 1068012 is about 102.2175288400.

It can be divided in two parts, 106 and 8012, that added together give a palindrome (8118).

The spelling of 1068012 in words is "one million, sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 31 33 36 44 54 58 62 66 87 93 99 108 116 124 132 174 186 198 261 279 297 319 341 348 372 396 522 558 594 638 682 783 837 899 957 1023 1044 1116 1188 1276 1364 1566 1674 1798 1914 2046 2697 2871 3069 3132 3348 3596 3828 4092 5394 5742 6138 8091 8613 9207 9889 10788 11484 12276 16182 17226 18414 19778 24273 29667 32364 34452 36828 39556 48546 59334 89001 97092 118668 178002 267003 356004 534006 1068012