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1068022280 = 2351317120817
BaseRepresentation
bin111111101010001…
…011101000001000
32202102200011010202
4333222023220020
54141403203110
6253551231332
735316016403
oct7752135010
92672604122
101068022280
114a8963a46
12259818548
13140365760
14a1bb6d3a
1563b6b0a5
hex3fa8ba08

1068022280 has 64 divisors (see below), whose sum is σ = 2740152240. Its totient is φ = 371146752.

The previous prime is 1068022259. The next prime is 1068022289. The reversal of 1068022280 is 822208601.

1068022280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 550277764 + 517744516 = 23458^2 + 22754^2 .

It is a super-2 number, since 2×10680222802 = 2281343181152796800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068022289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51569 + ... + 69248.

Almost surely, 21068022280 is an apocalyptic number.

1068022280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068022280 is an abundant number, since it is smaller than the sum of its proper divisors (1672129960).

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

1068022280 is a wasteful number, since it uses less digits than its factorization.

1068022280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120858 (or 120854 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1068022280 is about 32680.6101534228. The cubic root of 1068022280 is about 1022.1785679915.

The spelling of 1068022280 in words is "one billion, sixty-eight million, twenty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 120817 241634 483268 604085 966536 1208170 1570621 2053889 2416340 3141242 4107778 4832680 6282484 7853105 8215556 10269445 12564968 15706210 16431112 20538890 26700557 31412420 41077780 53401114 62824840 82155560 106802228 133502785 213604456 267005570 534011140 1068022280