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66620160 = 283255783
BaseRepresentation
bin1111111000100…
…0101100000000
311122100122200100
43332020230000
5114023321120
610335522400
71436155605
oct376105400
9148318610
1066620160
1134672792
121a389400
1310a57319
148bc26ac
155cae490
hex3f88b00

66620160 has 108 divisors (see below), whose sum is σ = 230538672. Its totient is φ = 17762304.

The previous prime is 66620159. The next prime is 66620189. The reversal of 66620160 is 6102666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8629 + ... + 14411.

Almost surely, 266620160 is an apocalyptic number.

66620160 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 66620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115269336).

66620160 is an abundant number, since it is smaller than the sum of its proper divisors (163918512).

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

66620160 is a wasteful number, since it uses less digits than its factorization.

66620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66620160 is about 8162.1173723489. The cubic root of 66620160 is about 405.3858234578.

The spelling of 66620160 in words is "sixty-six million, six hundred twenty thousand, one 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 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 5783 11520 11566 17349 23132 28915 34698 46264 52047 57830 69396 86745 92528 104094 115660 138792 173490 185056 208188 231320 260235 277584 346980 370112 416376 462640 520470 555168 693960 740224 832752 925280 1040940 1110336 1387920 1480448 1665504 1850560 2081880 2220672 2775840 3331008 3701120 4163760 4441344 5551680 6662016 7402240 8327520 11103360 13324032 16655040 22206720 33310080 66620160