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1005066660 = 223513299119
BaseRepresentation
bin111011111010000…
…001100110100100
32121001012200021010
4323322001212210
54024244113120
6243422022220
733622632333
oct7372014644
92531180233
101005066660
11476374504
12240717970
131302c2400
14976a9d1a
155d3827e0
hex3be819a4

1005066660 has 72 divisors (see below), whose sum is σ = 3047345280. Its totient is φ = 247398528.

The previous prime is 1005066653. The next prime is 1005066679. The reversal of 1005066660 is 666605001.

1005066660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39420 + ... + 59699.

It is an arithmetic number, because the mean of its divisors is an integer number (42324240).

Almost surely, 21005066660 is an apocalyptic number.

1005066660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005066660 is an abundant number, since it is smaller than the sum of its proper divisors (2042278620).

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

1005066660 is a wasteful number, since it uses less digits than its factorization.

1005066660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99157 (or 99142 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1005066660 is about 31702.7863128779. The cubic root of 1005066660 is about 1001.6860423303.

The spelling of 1005066660 in words is "one billion, five million, sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 99119 198238 297357 396476 495595 594714 991190 1189428 1288547 1486785 1982380 2577094 2973570 3865641 5154188 5947140 6442735 7731282 12885470 15462564 16751111 19328205 25770940 33502222 38656410 50253333 67004444 77312820 83755555 100506666 167511110 201013332 251266665 335022220 502533330 1005066660