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1668355840 = 2851399377
BaseRepresentation
bin110001101110001…
…0001011100000000
311022021022020222001
41203130101130000
511404044341330
6433314353344
756225535124
oct14334213400
94267266861
101668355840
1178681a488
123a688b854
1320784a108
1411b809584
159b7029ca
hex63711700

1668355840 has 72 divisors (see below), whose sum is σ = 4025412720. Its totient is φ = 662470656.

The previous prime is 1668355837. The next prime is 1668355841. The reversal of 1668355840 is 485538661.

It is a super-2 number, since 2×16683558402 = 5566822417724211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668355841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173232 + ... + 182608.

It is an arithmetic number, because the mean of its divisors is an integer number (55908510).

Almost surely, 21668355840 is an apocalyptic number.

1668355840 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 1668355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012706360).

1668355840 is an abundant number, since it is smaller than the sum of its proper divisors (2357056880).

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

1668355840 is an equidigital number, since it uses as much as digits as its factorization.

1668355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The square root of 1668355840 is about 40845.5118709510. The cubic root of 1668355840 is about 1186.0315135420.

The spelling of 1668355840 in words is "one billion, six hundred sixty-eight million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 256 278 320 556 640 695 1112 1280 1390 2224 2780 4448 5560 8896 9377 11120 17792 18754 22240 35584 37508 44480 46885 75016 88960 93770 150032 177920 187540 300064 375080 600128 750160 1200256 1303403 1500320 2400512 2606806 3000640 5213612 6001280 6517015 10427224 12002560 13034030 20854448 26068060 41708896 52136120 83417792 104272240 166835584 208544480 333671168 417088960 834177920 1668355840