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664241520 = 243519295023
BaseRepresentation
bin100111100101111…
…000010101110000
31201021212222001210
4213211320111300
52330021212040
6145525000120
722313650125
oct4745702560
91637788053
10664241520
11310a46538
12166553040
13a77cc327
146430a74c
153d4ac480
hex27978570

664241520 has 160 divisors (see below), whose sum is σ = 2242713600. Its totient is φ = 161989632.

The previous prime is 664241519. The next prime is 664241521. The reversal of 664241520 is 25142466.

664241520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (664241519) and next prime (664241521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664241521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129729 + ... + 134751.

It is an arithmetic number, because the mean of its divisors is an integer number (14016960).

Almost surely, 2664241520 is an apocalyptic number.

664241520 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 664241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121356800).

664241520 is an abundant number, since it is smaller than the sum of its proper divisors (1578472080).

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

664241520 is a wasteful number, since it uses less digits than its factorization.

664241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 664241520 is about 25772.8834242504. The cubic root of 664241520 is about 872.5198973030.

Adding to 664241520 its reverse (25142466), we get a palindrome (689383986).

The spelling of 664241520 in words is "six hundred sixty-four million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 38 40 48 57 58 60 76 80 87 95 114 116 120 145 152 174 190 228 232 240 285 290 304 348 380 435 456 464 551 570 580 696 760 870 912 1102 1140 1160 1392 1520 1653 1740 2204 2280 2320 2755 3306 3480 4408 4560 5023 5510 6612 6960 8265 8816 10046 11020 13224 15069 16530 20092 22040 25115 26448 30138 33060 40184 44080 50230 60276 66120 75345 80368 95437 100460 120552 132240 145667 150690 190874 200920 241104 286311 291334 301380 381748 401840 437001 477185 572622 582668 602760 728335 763496 874002 954370 1145244 1165336 1205520 1431555 1456670 1526992 1748004 1908740 2185005 2290488 2330672 2767673 2863110 2913340 3496008 3817480 4370010 4580976 5535346 5726220 5826680 6992016 7634960 8303019 8740020 11070692 11452440 11653360 13838365 16606038 17480040 22141384 22904880 27676730 33212076 34960080 41515095 44282768 55353460 66424152 83030190 110706920 132848304 166060380 221413840 332120760 664241520