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1067089068 = 2232315318041
BaseRepresentation
bin111111100110100…
…111110010101100
32202100220202000100
4333212213302230
54141133322233
6253515231100
735305051563
oct7746476254
92670822010
101067089068
114a83868a1
12259448490
131400c9a66
14a1a12bda
1563a34813
hex3f9a7cac

1067089068 has 72 divisors (see below), whose sum is σ = 2837068416. Its totient is φ = 337708800.

The previous prime is 1067089063. The next prime is 1067089069. The reversal of 1067089068 is 8609807601.

It is a happy number.

It is a super-2 number, since 2×10670890682 = 2277358158090217248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067089063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50128 + ... + 68168.

It is an arithmetic number, because the mean of its divisors is an integer number (39403728).

Almost surely, 21067089068 is an apocalyptic number.

1067089068 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 1067089068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418534208).

1067089068 is an abundant number, since it is smaller than the sum of its proper divisors (1769979348).

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

1067089068 is a wasteful number, since it uses less digits than its factorization.

1067089068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18135 (or 18130 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1067089068 is about 32666.3292703665. The cubic root of 1067089068 is about 1021.8807629448.

The spelling of 1067089068 in words is "one billion, sixty-seven million, eighty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 9858 14787 18041 19716 29574 36082 54123 59148 72164 108246 162369 216492 324738 559271 649476 956173 1118542 1677813 1912346 2237084 2868519 3355626 3824692 5033439 5737038 6711252 8605557 10066878 11474076 17211114 20133756 29641363 34422228 59282726 88924089 118565452 177848178 266772267 355696356 533544534 1067089068