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1067746056 = 233132534967
BaseRepresentation
bin111111101001001…
…000001100001000
32202102011010020020
4333221020030020
54141320333211
6253541300440
735313456156
oct7751101410
92672133206
101067746056
114a8795463
12259704720
13140299b00
14a1b443d6
1563b14306
hex3fa48308

1067746056 has 96 divisors (see below), whose sum is σ = 2945626560. Its totient is φ = 322273536.

The previous prime is 1067745967. The next prime is 1067746091. The reversal of 1067746056 is 6506477601.

It is a super-2 number, since 2×10677460562 = 2280163280207110272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067745999 and 1067746017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212485 + ... + 217451.

It is an arithmetic number, because the mean of its divisors is an integer number (30683610).

Almost surely, 21067746056 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 1067746056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472813280).

1067746056 is an abundant number, since it is smaller than the sum of its proper divisors (1877880504).

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

1067746056 is a wasteful number, since it uses less digits than its factorization.

1067746056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 1067746056 is about 32676.3837656495. The cubic root of 1067746056 is about 1022.0904379331.

The spelling of 1067746056 in words is "one billion, sixty-seven million, seven hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 169 212 312 318 338 424 507 636 676 689 1014 1272 1352 1378 2028 2067 2756 4056 4134 4967 5512 8268 8957 9934 14901 16536 17914 19868 26871 29802 35828 39736 53742 59604 64571 71656 107484 119208 129142 193713 214968 258284 263251 387426 516568 526502 774852 789753 839423 1053004 1549704 1579506 1678846 2106008 2518269 3159012 3357692 3422263 5036538 6318024 6715384 6844526 10073076 10266789 13689052 20146152 20533578 27378104 41067156 44489419 82134312 88978838 133468257 177957676 266936514 355915352 533873028 1067746056