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1068133605 = 357211132113
BaseRepresentation
bin111111101010100…
…110110011100101
32202102212210211220
4333222212303211
54141420233410
6253553450553
735316662100
oct7752466345
92672783756
101068133605
114a8a2a650
12259870a59
131403a4326
14a1c05737
1563b8e070
hex3faa6ce5

1068133605 has 48 divisors (see below), whose sum is σ = 2168783424. Its totient is φ = 443896320.

The previous prime is 1068133571. The next prime is 1068133663. The reversal of 1068133605 is 5063318601.

It is not a de Polignac number, because 1068133605 - 28 = 1068133349 is a prime.

It is a super-2 number, since 2×10681336052 = 2281818796260592050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 57972 + ... + 74141.

It is an arithmetic number, because the mean of its divisors is an integer number (45182988).

Almost surely, 21068133605 is an apocalyptic number.

1068133605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1068133605 is an abundant number, since it is smaller than the sum of its proper divisors (1100649819).

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

1068133605 is a wasteful number, since it uses less digits than its factorization.

1068133605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132146 (or 132139 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1068133605 is about 32682.3133361150. The cubic root of 1068133605 is about 1022.2140822555.

The spelling of 1068133605 in words is "one billion, sixty-eight million, one hundred thirty-three thousand, six hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 132113 396339 660565 924791 1453243 1981695 2774373 4359729 4623955 6473537 7266215 10172701 13871865 19420611 21798645 30518103 32367685 50863505 71208907 97103055 152590515 213626721 356044535 1068133605