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66428560 = 245111929137
BaseRepresentation
bin1111110101100…
…1111010010000
311121222220212001
43331121322100
5114001203220
610331443344
71434430162
oct375317220
9147886761
1066428560
1134551840
121a2b6554
13109bb053
148b72932
155c7280a
hex3f59e90

66428560 has 160 divisors (see below), whose sum is σ = 184809600. Its totient is φ = 21934080.

The previous prime is 66428543. The next prime is 66428611. The reversal of 66428560 is 6582466.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484812 + ... + 484948.

It is an arithmetic number, because the mean of its divisors is an integer number (1155060).

Almost surely, 266428560 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 66428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92404800).

66428560 is an abundant number, since it is smaller than the sum of its proper divisors (118381040).

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

66428560 is a wasteful number, since it uses less digits than its factorization.

66428560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 66428560 is about 8150.3717706618. The cubic root of 66428560 is about 404.9968195655.

The spelling of 66428560 in words is "sixty-six million, four hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 29 38 40 44 55 58 76 80 88 95 110 116 137 145 152 176 190 209 220 232 274 290 304 319 380 418 440 464 548 551 580 638 685 760 836 880 1045 1096 1102 1160 1276 1370 1507 1520 1595 1672 2090 2192 2204 2320 2552 2603 2740 2755 3014 3190 3344 3973 4180 4408 5104 5206 5480 5510 6028 6061 6380 7535 7946 8360 8816 10412 10960 11020 12056 12122 12760 13015 15070 15892 16720 19865 20824 22040 24112 24244 25520 26030 28633 30140 30305 31784 39730 41648 43703 44080 48488 52060 57266 60280 60610 63568 75487 79460 87406 96976 104120 114532 120560 121220 143165 150974 158920 174812 208240 218515 229064 242440 286330 301948 317840 349624 377435 437030 458128 484880 572660 603896 699248 754870 830357 874060 1145320 1207792 1509740 1660714 1748120 2290640 3019480 3321428 3496240 4151785 6038960 6642856 8303570 13285712 16607140 33214280 66428560