Search a number
-
+
664713840 = 24357974079
BaseRepresentation
bin100111100111101…
…011101001110000
31201022202221222010
4213213223221300
52330131320330
6145543042520
722320655140
oct4747535160
91638687863
10664713840
1131123938a
12166740440
13a79362cb
14643d0920
153d5523b0
hex279eba70

664713840 has 160 divisors (see below), whose sum is σ = 2379847680. Its totient is φ = 150331392.

The previous prime is 664713839. The next prime is 664713851. The reversal of 664713840 is 48317466.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160921 + ... + 164999.

It is an arithmetic number, because the mean of its divisors is an integer number (14874048).

Almost surely, 2664713840 is an apocalyptic number.

664713840 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 664713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189923840).

664713840 is an abundant number, since it is smaller than the sum of its proper divisors (1715133840).

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

664713840 is a wasteful number, since it uses less digits than its factorization.

664713840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 664713840 is about 25782.0449150179. The cubic root of 664713840 is about 872.7266549080.

The spelling of 664713840 in words is "six hundred sixty-four million, seven hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 97 105 112 120 140 168 194 210 240 280 291 336 388 420 485 560 582 679 776 840 970 1164 1358 1455 1552 1680 1940 2037 2328 2716 2910 3395 3880 4074 4079 4656 5432 5820 6790 7760 8148 8158 10185 10864 11640 12237 13580 16296 16316 20370 20395 23280 24474 27160 28553 32592 32632 40740 40790 48948 54320 57106 61185 65264 81480 81580 85659 97896 114212 122370 142765 162960 163160 171318 195792 228424 244740 285530 326320 342636 395663 428295 456848 489480 571060 685272 791326 856590 978960 1142120 1186989 1370544 1582652 1713180 1978315 2284240 2373978 2769641 3165304 3426360 3956630 4747956 5539282 5934945 6330608 6852720 7913260 8308923 9495912 11078564 11869890 13848205 15826520 16617846 18991824 22157128 23739780 27696410 31653040 33235692 41544615 44314256 47479560 55392820 66471384 83089230 94959120 110785640 132942768 166178460 221571280 332356920 664713840