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1666701680 = 245721932203
BaseRepresentation
bin110001101010111…
…1101100101110000
311022011012012212212
41203111331211300
511403133423210
6433215111252
756205505400
oct14325754560
94264165785
101666701680
1178589a706
123a6212528
132073bb217
1411b4d8800
159b4c7805
hex6357d970

1666701680 has 120 divisors (see below), whose sum is σ = 4533160752. Its totient is φ = 568221696.

The previous prime is 1666701671. The next prime is 1666701689. The reversal of 1666701680 is 861076661.

It is an interprime number because it is at equal distance from previous prime (1666701671) and next prime (1666701689).

It is a super-2 number, since 2×16667016802 = 5555788980229644800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666701689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755459 + ... + 757661.

Almost surely, 21666701680 is an apocalyptic number.

1666701680 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 1666701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266580376).

1666701680 is an abundant number, since it is smaller than the sum of its proper divisors (2866459072).

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

1666701680 is a wasteful number, since it uses less digits than its factorization.

1666701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1666701680 is about 40825.2578681384. The cubic root of 1666701680 is about 1185.6394040179.

The spelling of 1666701680 in words is "one billion, six hundred sixty-six million, seven hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 193 196 245 280 386 392 490 560 772 784 965 980 1351 1544 1930 1960 2203 2702 3088 3860 3920 4406 5404 6755 7720 8812 9457 10808 11015 13510 15421 15440 17624 18914 21616 22030 27020 30842 35248 37828 44060 47285 54040 61684 75656 77105 88120 94570 107947 108080 123368 151312 154210 176240 189140 215894 246736 308420 378280 425179 431788 539735 616840 756560 850358 863576 1079470 1233680 1700716 1727152 2125895 2158940 2976253 3401432 4251790 4317880 5952506 6802864 8503580 8635760 11905012 14881265 17007160 20833771 23810024 29762530 34014320 41667542 47620048 59525060 83335084 104168855 119050120 166670168 208337710 238100240 333340336 416675420 833350840 1666701680