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1068824260 = 225722347419
BaseRepresentation
bin111111101101001…
…111011011000100
32202111011220020201
4333231033123010
54142104334020
6254020340244
735325566500
oct7755173304
92674156221
101068824260
114a9361539
12259b44684
131405867ba
14a1d45300
1563c78a0a
hex3fb4f6c4

1068824260 has 72 divisors (see below), whose sum is σ = 2724563520. Its totient is φ = 350513856.

The previous prime is 1068824213. The next prime is 1068824287. The reversal of 1068824260 is 624288601.

It is a super-2 number, since 2×10688242602 = 2284770597529095200, which contains 22 as substring.

It is an unprimeable number.

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, 1170 + ... + 46249.

It is an arithmetic number, because the mean of its divisors is an integer number (37841160).

Almost surely, 21068824260 is an apocalyptic number.

1068824260 is a gapful number since it is divisible by the number (10) 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 1068824260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362281760).

1068824260 is an abundant number, since it is smaller than the sum of its proper divisors (1655739260).

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

1068824260 is a wasteful number, since it uses less digits than its factorization.

1068824260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47465 (or 47456 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1068824260 is about 32692.8778176532. The cubic root of 1068824260 is about 1022.4343559343.

The spelling of 1068824260 in words is "one billion, sixty-eight million, eight hundred twenty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 4508 5635 11270 22540 47419 94838 189676 237095 331933 474190 663866 948380 1090637 1327732 1659665 2181274 2323531 3319330 4362548 4647062 5453185 6638660 7634459 9294124 10906370 11617655 15268918 21812740 23235310 30537836 38172295 46470620 53441213 76344590 106882426 152689180 213764852 267206065 534412130 1068824260