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1668880960 = 26519535179
BaseRepresentation
bin110001101111001…
…0001101001000000
311022022021221021221
41203132101221000
511404213142320
6433333524424
756233153105
oct14336215100
94268257257
101668880960
11787048a6a
123a6aa3714
132079a2136
1411b904aac
159b7a83aa
hex63791a40

1668880960 has 112 divisors (see below), whose sum is σ = 4262932800. Its totient is φ = 620365824.

The previous prime is 1668880949. The next prime is 1668880987. The reversal of 1668880960 is 690888661.

It is a junction number, because it is equal to n+sod(n) for n = 1668880898 and 1668880907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319651 + ... + 324829.

It is an arithmetic number, because the mean of its divisors is an integer number (38061900).

Almost surely, 21668880960 is an apocalyptic number.

1668880960 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 1668880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131466400).

1668880960 is an abundant number, since it is smaller than the sum of its proper divisors (2594051840).

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

1668880960 is a wasteful number, since it uses less digits than its factorization.

1668880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 1668880960 is about 40851.9394888419. The cubic root of 1668880960 is about 1186.1559361465.

The spelling of 1668880960 in words is "one billion, six hundred sixty-eight million, eight hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 64 76 80 95 106 152 160 190 212 265 304 320 380 424 530 608 760 848 1007 1060 1216 1520 1696 2014 2120 3040 3392 4028 4240 5035 5179 6080 8056 8480 10070 10358 16112 16960 20140 20716 25895 32224 40280 41432 51790 64448 80560 82864 98401 103580 161120 165728 196802 207160 274487 322240 331456 393604 414320 492005 548974 787208 828640 984010 1097948 1372435 1574416 1657280 1968020 2195896 2744870 3148832 3936040 4391792 5215253 5489740 6297664 7872080 8783584 10430506 10979480 15744160 17567168 20861012 21958960 26076265 31488320 41722024 43917920 52152530 83444048 87835840 104305060 166888096 208610120 333776192 417220240 834440480 1668880960