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1069391680 = 265739743
BaseRepresentation
bin111111101111011…
…001111101000000
32202112020201121021
4333233121331000
54142231013210
6254040435224
735333452000
oct7757317500
92675221537
101069391680
114a9709885
1225a178b14
13140724b56
14a2052000
1563d3bbda
hex3fbd9f40

1069391680 has 112 divisors (see below), whose sum is σ = 2969971200. Its totient is φ = 366610944.

The previous prime is 1069391669. The next prime is 1069391683. The reversal of 1069391680 is 861939601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10693916802 = 2287197130506444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069391683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104889 + ... + 114631.

It is an arithmetic number, because the mean of its divisors is an integer number (26517600).

Almost surely, 21069391680 is an apocalyptic number.

1069391680 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 1069391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484985600).

1069391680 is an abundant number, since it is smaller than the sum of its proper divisors (1900579520).

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

1069391680 is an frugal number, since it uses more digits than its factorization.

1069391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 1069391680 is about 32701.5547031024. The cubic root of 1069391680 is about 1022.6152547313.

The spelling of 1069391680 in words is "one billion, sixty-nine million, three hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 560 686 784 980 1120 1372 1568 1715 1960 2240 2744 3136 3430 3920 5488 6860 7840 9743 10976 13720 15680 19486 21952 27440 38972 48715 54880 68201 77944 97430 109760 136402 155888 194860 272804 311776 341005 389720 477407 545608 623552 682010 779440 954814 1091216 1364020 1558880 1909628 2182432 2387035 2728040 3117760 3341849 3819256 4364864 4774070 5456080 6683698 7638512 9548140 10912160 13367396 15277024 16709245 19096280 21824320 26734792 30554048 33418490 38192560 53469584 66836980 76385120 106939168 133673960 152770240 213878336 267347920 534695840 1069391680