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1070006868 = 223371797907
BaseRepresentation
bin111111110001110…
…000001001010100
32202120101222111000
4333301300021110
54142410204433
6254101543300
735341623360
oct7761601124
92676358430
101070006868
114a9a99aa7
1225a414b30
131408abb78
14a21722a0
1563e0e113
hex3fc70254

1070006868 has 96 divisors (see below), whose sum is σ = 3188505600. Its totient is φ = 303969888.

The previous prime is 1070006863. The next prime is 1070006887. The reversal of 1070006868 is 8686000701.

1070006868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10700068682 = 2289829395134338848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070006863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131371 + ... + 139277.

It is an arithmetic number, because the mean of its divisors is an integer number (33213600).

Almost surely, 21070006868 is an apocalyptic number.

1070006868 is a gapful number since it is divisible by the number (18) 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 1070006868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594252800).

1070006868 is an abundant number, since it is smaller than the sum of its proper divisors (2118498732).

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

1070006868 is a wasteful number, since it uses less digits than its factorization.

1070006868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1070006868 is about 32710.9594478670. The cubic root of 1070006868 is about 1022.8113101304.

The spelling of 1070006868 in words is "one billion, seventy million, six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 179 189 252 358 378 537 716 756 1074 1253 1611 2148 2506 3222 3759 4833 5012 6444 7518 7907 9666 11277 15036 15814 19332 22554 23721 31628 33831 45108 47442 55349 67662 71163 94884 110698 135324 142326 166047 213489 221396 284652 332094 426978 498141 664188 853956 996282 1415353 1494423 1992564 2830706 2988846 4246059 5661412 5977692 8492118 9907471 12738177 16984236 19814942 25476354 29722413 38214531 39629884 50952708 59444826 76429062 89167239 118889652 152858124 178334478 267501717 356668956 535003434 1070006868