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64066680 = 23335137433
BaseRepresentation
bin1111010001100…
…1010001111000
311110112220222000
43310121101320
5112400113210
610205101000
71405362216
oct364312170
9143486860
1064066680
1133189277
1219557760
1310371ca2
148719cb6
155957ac0
hex3d19478

64066680 has 128 divisors (see below), whose sum is σ = 215611200. Its totient is φ = 16920576.

The previous prime is 64066679. The next prime is 64066703. The reversal of 64066680 is 8666046.

64066680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 147744 + ... + 148176.

Almost surely, 264066680 is an apocalyptic number.

64066680 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 64066680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107805600).

64066680 is an abundant number, since it is smaller than the sum of its proper divisors (151544520).

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

64066680 is a wasteful number, since it uses less digits than its factorization.

64066680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 64066680 is about 8004.1664150616. The cubic root of 64066680 is about 400.1388684500.

It can be divided in two parts, 64066 and 680, that added together give a palindrome (64746).

The spelling of 64066680 in words is "sixty-four million, sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 433 540 548 685 822 866 1080 1096 1233 1299 1370 1644 1732 2055 2165 2466 2598 2740 3288 3464 3699 3897 4110 4330 4932 5196 5480 6165 6495 7398 7794 8220 8660 9864 10392 11691 12330 12990 14796 15588 16440 17320 18495 19485 23382 24660 25980 29592 31176 36990 38970 46764 49320 51960 58455 59321 73980 77940 93528 116910 118642 147960 155880 177963 233820 237284 296605 355926 467640 474568 533889 593210 711852 889815 1067778 1186420 1423704 1601667 1779630 2135556 2372840 2669445 3203334 3559260 4271112 5338890 6406668 7118520 8008335 10677780 12813336 16016670 21355560 32033340 64066680