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664791660 = 22325131272237
BaseRepresentation
bin100111100111111…
…110101001101100
31201022220220201100
4213213332221230
52330141313120
6145544443100
722321431051
oct4747765154
91638826640
10664791660
113112918a5
12166779490
13a7962860
1464411028
153d56a490
hex279fea6c

664791660 has 144 divisors (see below), whose sum is σ = 2189730816. Its totient is φ = 162279936.

The previous prime is 664791649. The next prime is 664791689. The reversal of 664791660 is 66197466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 296062 + ... + 298298.

It is an arithmetic number, because the mean of its divisors is an integer number (15206464).

Almost surely, 2664791660 is an apocalyptic number.

664791660 is a gapful number since it is divisible by the number (60) 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 664791660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094865408).

664791660 is an abundant number, since it is smaller than the sum of its proper divisors (1524939156).

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

664791660 is a wasteful number, since it uses less digits than its factorization.

664791660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 664791660 is about 25783.5540606798. The cubic root of 664791660 is about 872.7607111359.

The spelling of 664791660 in words is "six hundred sixty-four million, seven hundred ninety-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 127 130 156 180 195 234 254 260 381 390 468 508 585 635 762 780 1143 1170 1270 1524 1651 1905 2237 2286 2340 2540 3302 3810 4474 4572 4953 5715 6604 6711 7620 8255 8948 9906 11185 11430 13422 14859 16510 19812 20133 22370 22860 24765 26844 29081 29718 33020 33555 40266 44740 49530 58162 59436 67110 74295 80532 87243 99060 100665 116324 134220 145405 148590 174486 201330 261729 284099 290810 297180 348972 402660 436215 523458 568198 581620 852297 872430 1046916 1136396 1308645 1420495 1704594 1744860 2556891 2617290 2840990 3409188 3693287 4261485 5113782 5234580 5681980 7386574 8522970 10227564 11079861 12784455 14773148 17045940 18466435 22159722 25568910 33239583 36932870 44319444 51137820 55399305 66479166 73865740 110798610 132958332 166197915 221597220 332395830 664791660