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1061226816 = 263132271873
BaseRepresentation
bin111111010000010…
…000100101000000
32201221212220111220
4333100100211000
54133133224231
6253145435040
735204164506
oct7720204500
92657786456
101061226816
114a5042461
1225749ba80
1313bb26680
14a0d28676
1563277896
hex3f410940

1061226816 has 112 divisors (see below), whose sum is σ = 3038758464. Its totient is φ = 324919296.

The previous prime is 1061226787. The next prime is 1061226827. The reversal of 1061226816 is 6186221601.

It is a super-2 number, since 2×10612268162 = 2252404709994995712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 565656 + ... + 567528.

It is an arithmetic number, because the mean of its divisors is an integer number (27131772).

Almost surely, 21061226816 is an apocalyptic number.

1061226816 is a gapful number since it is divisible by the number (16) 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 1061226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519379232).

1061226816 is an abundant number, since it is smaller than the sum of its proper divisors (1977531648).

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

1061226816 is a wasteful number, since it uses less digits than its factorization.

1061226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1061226816 is about 32576.4764208777. The cubic root of 1061226816 is about 1020.0060284150.

The spelling of 1061226816 in words is "one billion, sixty-one million, two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 227 312 416 454 624 681 832 908 1248 1362 1816 1873 2496 2724 2951 3632 3746 5448 5619 5902 7264 7492 8853 10896 11238 11804 14528 14984 17706 21792 22476 23608 24349 29968 35412 43584 44952 47216 48698 59936 70824 73047 89904 94432 97396 119872 141648 146094 179808 188864 194792 283296 292188 359616 389584 425171 566592 584376 779168 850342 1168752 1275513 1558336 1700684 2337504 2551026 3401368 4675008 5102052 5527223 6802736 10204104 11054446 13605472 16581669 20408208 22108892 27210944 33163338 40816416 44217784 66326676 81632832 88435568 132653352 176871136 265306704 353742272 530613408 1061226816