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1668337020 = 223357441359
BaseRepresentation
bin110001101110000…
…1100110101111100
311022021021022011000
41203130030311330
511404043241040
6433314130300
756225426220
oct14334146574
94267238130
101668337020
11786807329
123a6880990
1320784168c
1411b802780
159b6ec130
hex6370cd7c

1668337020 has 96 divisors (see below), whose sum is σ = 5931878400. Its totient is φ = 381333312.

The previous prime is 1668336991. The next prime is 1668337049. The reversal of 1668337020 is 207338661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1668336991) and next prime (1668337049).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 216900 + ... + 224459.

It is an arithmetic number, because the mean of its divisors is an integer number (61790400).

Almost surely, 21668337020 is an apocalyptic number.

1668337020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1668337020 is an abundant number, since it is smaller than the sum of its proper divisors (4263541380).

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

1668337020 is a wasteful number, since it uses less digits than its factorization.

1668337020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441384 (or 441376 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1668337020 is about 40845.2814900326. The cubic root of 1668337020 is about 1186.0270538226.

The spelling of 1668337020 in words is "one billion, six hundred sixty-eight million, three hundred thirty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 441359 882718 1324077 1765436 2206795 2648154 3089513 3972231 4413590 5296308 6179026 6620385 7944462 8827180 9268539 11916693 12358052 13240770 15447565 15888924 18537078 19861155 23833386 26481540 27805617 30895130 37074156 39722310 46342695 47666772 55611234 59583465 61790260 79444620 83416851 92685390 111222468 119166930 139028085 166833702 185370780 238333860 278056170 333667404 417084255 556112340 834168510 1668337020