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666505560 = 233571941761
BaseRepresentation
bin100111101110100…
…001000101011000
31201110010222202010
4213232201011120
52331111134220
6150045305520
722342126620
oct4756410530
91643128663
10666505560
11312252546
121672652a0
13a81129b6
1464739880
153d7a81e0
hex27ba1158

666505560 has 128 divisors (see below), whose sum is σ = 2405491200. Its totient is φ = 144322560.

The previous prime is 666505537. The next prime is 666505561. The reversal of 666505560 is 65505666.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666505561) 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, 4921 + ... + 36840.

It is an arithmetic number, because the mean of its divisors is an integer number (18792900).

Almost surely, 2666505560 is an apocalyptic number.

666505560 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 666505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202745600).

666505560 is an abundant number, since it is smaller than the sum of its proper divisors (1738985640).

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

666505560 is a wasteful number, since it uses less digits than its factorization.

666505560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41801 (or 41797 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 666505560 is about 25816.7689690248. The cubic root of 666505560 is about 873.5100892486.

The spelling of 666505560 in words is "six hundred sixty-six million, five hundred five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 41761 83522 125283 167044 208805 250566 292327 334088 417610 501132 584654 626415 793459 835220 876981 1002264 1169308 1252830 1461635 1586918 1670440 1753962 2338616 2380377 2505660 2923270 3173836 3507924 3967295 4384905 4760754 5011320 5554213 5846540 6347672 7015848 7934590 8769810 9521508 11108426 11693080 11901885 15869180 16662639 17539620 19043016 22216852 23803770 27771065 31738360 33325278 35079240 44433704 47607540 55542130 66650556 83313195 95215080 111084260 133301112 166626390 222168520 333252780 666505560