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664111360 = 28511101467
BaseRepresentation
bin100111100101011…
…000100100000000
31201021122100112001
4213211120210000
52330003030420
6145522113344
722312565503
oct4745304400
91637570461
10664111360
11310967770
121664ab854
13a7785003
14642b513a
153d483b0a
hex27958900

664111360 has 144 divisors (see below), whose sum is σ = 1756302912. Its totient is φ = 238592000.

The previous prime is 664111333. The next prime is 664111391. The reversal of 664111360 is 63111466.

It is a hoax number, since the sum of its digits (28) 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421847 + ... + 1422313.

It is an arithmetic number, because the mean of its divisors is an integer number (12196548).

Almost surely, 2664111360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878151456).

664111360 is an abundant number, since it is smaller than the sum of its proper divisors (1092191552).

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

664111360 is a wasteful number, since it uses less digits than its factorization.

664111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 664111360 is about 25770.3581659239. The cubic root of 664111360 is about 872.4629026682.

The spelling of 664111360 in words is "six hundred sixty-four million, one hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 467 505 640 704 808 880 934 1010 1111 1280 1408 1616 1760 1868 2020 2222 2335 2816 3232 3520 3736 4040 4444 4670 5137 5555 6464 7040 7472 8080 8888 9340 10274 11110 12928 14080 14944 16160 17776 18680 20548 22220 25685 25856 29888 32320 35552 37360 41096 44440 47167 51370 59776 64640 71104 74720 82192 88880 94334 102740 119552 129280 142208 149440 164384 177760 188668 205480 235835 284416 298880 328768 355520 377336 410960 471670 518837 597760 657536 711040 754672 821920 943340 1037674 1315072 1422080 1509344 1643840 1886680 2075348 2594185 3018688 3287680 3773360 4150696 5188370 6037376 6575360 7546720 8301392 10376740 12074752 15093440 16602784 20753480 30186880 33205568 41506960 60373760 66411136 83013920 132822272 166027840 332055680 664111360