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1075668580 = 22573295407
BaseRepresentation
bin100000000011101…
…0110011001100100
32202222001121220001
41000013112121210
54200332343310
6254423151044
735441014000
oct10007263144
92688047801
101075668580
115022067a8
122602a5484
13141b11bac
14a2c07700
156467b93a
hex401d6664

1075668580 has 96 divisors (see below), whose sum is σ = 2725632000. Its totient is φ = 356017536.

The previous prime is 1075668569. The next prime is 1075668593. The reversal of 1075668580 is 858665701.

It is a self number, because there is not a number n which added to its sum of digits gives 1075668580.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196237 + ... + 201643.

It is an arithmetic number, because the mean of its divisors is an integer number (28392000).

Almost surely, 21075668580 is an apocalyptic number.

1075668580 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 1075668580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362816000).

1075668580 is an abundant number, since it is smaller than the sum of its proper divisors (1649963420).

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

1075668580 is a wasteful number, since it uses less digits than its factorization.

1075668580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 1075668580 is about 32797.3867861450. The cubic root of 1075668580 is about 1024.6121332392.

The spelling of 1075668580 in words is "one billion, seventy-five million, six hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 343 406 490 580 686 812 980 1015 1372 1421 1715 2030 2842 3430 4060 5407 5684 6860 7105 9947 10814 14210 19894 21628 27035 28420 37849 39788 49735 54070 75698 99470 108140 151396 156803 189245 198940 264943 313606 378490 529886 627212 756980 784015 1059772 1097621 1324715 1568030 1854601 2195242 2649430 3136060 3709202 4390484 5298860 5488105 7418404 7683347 9273005 10976210 15366694 18546010 21952420 30733388 37092020 38416735 53783429 76833470 107566858 153666940 215133716 268917145 537834290 1075668580