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1668086760 = 2335191734229
BaseRepresentation
bin110001101101100…
…1111101111101000
311022020210120212010
41203123033233220
511404012234020
6433304515520
756223334464
oct14333175750
94266716763
101668086760
117866562aa
123a677bba0
132077847b2
1411b7794a4
159b69cde0
hex636cfbe8

1668086760 has 128 divisors (see below), whose sum is σ = 5299344000. Its totient is φ = 418876416.

The previous prime is 1668086759. The next prime is 1668086803. The reversal of 1668086760 is 676808661.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392326 + ... + 396554.

It is an arithmetic number, because the mean of its divisors is an integer number (41401125).

Almost surely, 21668086760 is an apocalyptic number.

1668086760 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 1668086760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649672000).

1668086760 is an abundant number, since it is smaller than the sum of its proper divisors (3631257240).

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

1668086760 is a wasteful number, since it uses less digits than its factorization.

1668086760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1668086760 is about 40842.2178633825. The cubic root of 1668086760 is about 1185.9677472657.

The spelling of 1668086760 in words is "one billion, six hundred sixty-eight million, eighty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 173 190 228 285 346 380 456 519 570 692 760 865 1038 1140 1384 1730 2076 2280 2595 3287 3460 4152 4229 5190 6574 6920 8458 9861 10380 12687 13148 16435 16916 19722 20760 21145 25374 26296 32870 33832 39444 42290 49305 50748 63435 65740 78888 80351 84580 98610 101496 126870 131480 160702 169160 197220 241053 253740 321404 394440 401755 482106 507480 642808 731617 803510 964212 1205265 1463234 1607020 1928424 2194851 2410530 2926468 3214040 3658085 4389702 4821060 5852936 7316170 8779404 9642120 10974255 13900723 14632340 17558808 21948510 27801446 29264680 41702169 43897020 55602892 69503615 83404338 87794040 111205784 139007230 166808676 208510845 278014460 333617352 417021690 556028920 834043380 1668086760