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1006644660 = 223579724709
BaseRepresentation
bin111100000000000…
…010110110110100
32121011011211212120
4330000002312310
54030200112120
6243515515540
733642224040
oct7400026664
92534154776
101006644660
1147725203a
12241158bb0
13130725738
149799b020
155d595140
hex3c002db4

1006644660 has 96 divisors (see below), whose sum is σ = 3254603520. Its totient is φ = 227708928.

The previous prime is 1006644659. The next prime is 1006644673. The reversal of 1006644660 is 664466001.

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, 28386 + ... + 53094.

It is an arithmetic number, because the mean of its divisors is an integer number (33902120).

Almost surely, 21006644660 is an apocalyptic number.

1006644660 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 1006644660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627301760).

1006644660 is an abundant number, since it is smaller than the sum of its proper divisors (2247958860).

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

1006644660 is a wasteful number, since it uses less digits than its factorization.

1006644660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24825 (or 24823 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1006644660 is about 31727.6639543475. The cubic root of 1006644660 is about 1002.2099989733.

The spelling of 1006644660 in words is "one billion, six million, six hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 582 679 970 1164 1358 1455 1940 2037 2716 2910 3395 4074 5820 6790 8148 10185 13580 20370 24709 40740 49418 74127 98836 123545 148254 172963 247090 296508 345926 370635 494180 518889 691852 741270 864815 1037778 1482540 1729630 2075556 2396773 2594445 3459260 4793546 5188890 7190319 9587092 10377780 11983865 14380638 16777411 23967730 28761276 33554822 35951595 47935460 50332233 67109644 71903190 83887055 100664466 143806380 167774110 201328932 251661165 335548220 503322330 1006644660