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1668020032 = 267191271543
BaseRepresentation
bin110001101101011…
…1111011101000000
311022020200012022201
41203122333131000
511404003120112
6433303242544
756222636110
oct14332773500
94266605281
101668020032
11786610158
123a6749454
13207760303
1411b75d040
159b688257
hex636bf740

1668020032 has 112 divisors (see below), whose sum is σ = 4015882240. Its totient is φ = 671473152.

The previous prime is 1668020021. The next prime is 1668020033. The reversal of 1668020032 is 2300208661.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668020033) 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 15 ways as a sum of consecutive naturals, for example, 1080253 + ... + 1081795.

Almost surely, 21668020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007941120).

1668020032 is an abundant number, since it is smaller than the sum of its proper divisors (2347862208).

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

1668020032 is a wasteful number, since it uses less digits than its factorization.

1668020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1668020032 is about 40841.4009554031. The cubic root of 1668020032 is about 1185.9519330781.

Adding to 1668020032 its reverse (2300208661), we get a palindrome (3968228693).

The spelling of 1668020032 in words is "one billion, six hundred sixty-eight million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 127 133 152 224 254 266 304 448 508 532 608 889 1016 1064 1216 1543 1778 2032 2128 2413 3086 3556 4064 4256 4826 6172 7112 8128 8512 9652 10801 12344 14224 16891 19304 21602 24688 28448 29317 33782 38608 43204 49376 56896 58634 67564 77216 86408 98752 117268 135128 154432 172816 195961 205219 234536 270256 345632 391922 410438 469072 540512 691264 783844 820876 938144 1081024 1371727 1567688 1641752 1876288 2743454 3135376 3283504 3723259 5486908 6270752 6567008 7446518 10973816 12541504 13134016 14893036 21947632 26062813 29786072 43895264 52125626 59572144 87790528 104251252 119144288 208502504 238288576 417005008 834010016 1668020032