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664889760 = 25325835563
BaseRepresentation
bin100111101000010…
…110100110100000
31201100002220021200
4213220112212200
52330202433020
6145550521200
722322320053
oct4750264640
91640086250
10664889760
11311349577
12166806200
13a79983c2
1464438a9a
153d589590
hex27a169a0

664889760 has 144 divisors (see below), whose sum is σ = 2296685664. Its totient is φ = 175136256.

The previous prime is 664889749. The next prime is 664889783. The reversal of 664889760 is 67988466.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 664889697 and 664889706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116739 + ... + 122301.

It is an arithmetic number, because the mean of its divisors is an integer number (15949206).

Almost surely, 2664889760 is an apocalyptic number.

664889760 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 664889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148342832).

664889760 is an abundant number, since it is smaller than the sum of its proper divisors (1631795904).

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

664889760 is a wasteful number, since it uses less digits than its factorization.

664889760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 664889760 is about 25785.4563659440. The cubic root of 664889760 is about 872.8036386774.

The spelling of 664889760 in words is "six hundred sixty-four million, eight hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1660 1992 2490 2656 2988 3320 3735 3984 4980 5563 5976 6640 7470 7968 9960 11126 11952 13280 14940 16689 19920 22252 23904 27815 29880 33378 39840 44504 50067 55630 59760 66756 83445 89008 100134 111260 119520 133512 166890 178016 200268 222520 250335 267024 333780 400536 445040 461729 500670 534048 667560 801072 890080 923458 1001340 1335120 1385187 1602144 1846916 2002680 2308645 2670240 2770374 3693832 4005360 4155561 4617290 5540748 6925935 7387664 8010720 8311122 9234580 11081496 13851870 14775328 16622244 18469160 20777805 22162992 27703740 33244488 36938320 41555610 44325984 55407480 66488976 73876640 83111220 110814960 132977952 166222440 221629920 332444880 664889760