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1668064920 = 2335291313659
BaseRepresentation
bin110001101101100…
…1010011010011000
311022020202110220020
41203123022122120
511404011034140
6433304230440
756223214014
oct14333123230
94266673806
101668064920
11786640955
123a676b420
13207777882
1411b771544
159b6966d0
hex636ca698

1668064920 has 128 divisors (see below), whose sum is σ = 5217696000. Its totient is φ = 426083840.

The previous prime is 1668064883. The next prime is 1668064961. The reversal of 1668064920 is 294608661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454051 + ... + 457709.

It is an arithmetic number, because the mean of its divisors is an integer number (40763250).

Almost surely, 21668064920 is an apocalyptic number.

1668064920 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 1668064920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608848000).

1668064920 is an abundant number, since it is smaller than the sum of its proper divisors (3549631080).

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

1668064920 is a wasteful number, since it uses less digits than its factorization.

1668064920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1668064920 is about 40841.9504921104. The cubic root of 1668064920 is about 1185.9625713462.

The spelling of 1668064920 in words is "one billion, six hundred sixty-eight million, sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 131 145 174 232 262 290 348 393 435 524 580 655 696 786 870 1048 1160 1310 1572 1740 1965 2620 3144 3480 3659 3799 3930 5240 7318 7598 7860 10977 11397 14636 15196 15720 18295 18995 21954 22794 29272 30392 36590 37990 43908 45588 54885 56985 73180 75980 87816 91176 106111 109770 113970 146360 151960 212222 219540 227940 318333 424444 439080 455880 479329 530555 636666 848888 958658 1061110 1273332 1437987 1591665 1917316 2122220 2396645 2546664 2875974 3183330 3834632 4244440 4793290 5751948 6366660 7189935 9586580 11503896 12733320 13900541 14379870 19173160 27801082 28759740 41701623 55602164 57519480 69502705 83403246 111204328 139005410 166806492 208508115 278010820 333612984 417016230 556021640 834032460 1668064920