Search a number
-
+
1666004112 = 2437471013
BaseRepresentation
bin110001101001101…
…0011010010010000
311022002212210000000
41203103103102100
511402444112422
6433152130000
756166541563
oct14323232220
94262783000
101666004112
11785463603
123a5b36900
13207205866
1411b3964da
159b3dacac
hex634d3490

1666004112 has 160 divisors (see below), whose sum is σ = 4948968960. Its totient is φ = 542982528.

The previous prime is 1666004107. The next prime is 1666004141. The reversal of 1666004112 is 2114006661.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 1644118 + ... + 1645130.

It is an arithmetic number, because the mean of its divisors is an integer number (30931056).

Almost surely, 21666004112 is an apocalyptic number.

1666004112 is a gapful number since it is divisible by the number (12) 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 1666004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474484480).

1666004112 is an abundant number, since it is smaller than the sum of its proper divisors (3282964848).

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

1666004112 is an equidigital number, since it uses as much as digits as its factorization.

1666004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1666004112 is about 40816.7136354705. The cubic root of 1666004112 is about 1185.4739715896.

The spelling of 1666004112 in words is "one billion, six hundred sixty-six million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 243 282 324 376 423 432 486 564 648 729 752 846 972 1013 1128 1269 1296 1458 1692 1944 2026 2187 2256 2538 2916 3039 3384 3807 3888 4052 4374 5076 5832 6078 6768 7614 8104 8748 9117 10152 11421 11664 12156 15228 16208 17496 18234 20304 22842 24312 27351 30456 34263 34992 36468 45684 47611 48624 54702 60912 68526 72936 82053 91368 95222 102789 109404 137052 142833 145872 164106 182736 190444 205578 218808 246159 274104 285666 328212 380888 411156 428499 437616 492318 548208 571332 656424 738477 761776 822312 856998 984636 1142664 1285497 1312848 1476954 1644624 1713996 1969272 2215431 2285328 2570994 2953908 3427992 3856491 3938544 4430862 5141988 5907816 6855984 7712982 8861724 10283976 11569473 11815632 15425964 17723448 20567952 23138946 30851928 34708419 35446896 46277892 61703856 69416838 92555784 104125257 138833676 185111568 208250514 277667352 416501028 555334704 833002056 1666004112