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66560160 = 2535236029
BaseRepresentation
bin1111110111101…
…0000010100000
311122020121101010
43331322002200
5114014411120
610334340520
71435515642
oct375720240
9148217333
1066560160
11346316a7
121a35a740
1310a35c14
148ba8892
155c9b7e0
hex3f7a0a0

66560160 has 96 divisors (see below), whose sum is σ = 218816640. Its totient is φ = 16974848.

The previous prime is 66560147. The next prime is 66560167. The reversal of 66560160 is 6106566.

66560160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66560167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8026 + ... + 14054.

It is an arithmetic number, because the mean of its divisors is an integer number (2279340).

Almost surely, 266560160 is an apocalyptic number.

66560160 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 66560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109408320).

66560160 is an abundant number, since it is smaller than the sum of its proper divisors (152256480).

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

66560160 is a wasteful number, since it uses less digits than its factorization.

66560160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 66560160 is about 8158.4410275493. The cubic root of 66560160 is about 405.2640862584.

The spelling of 66560160 in words is "sixty-six million, five hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 6029 11040 12058 18087 24116 30145 36174 48232 60290 72348 90435 96464 120580 138667 144696 180870 192928 241160 277334 289392 361740 416001 482320 554668 578784 693335 723480 832002 964640 1109336 1386670 1446960 1664004 2080005 2218672 2773340 2893920 3328008 4160010 4437344 5546680 6656016 8320020 11093360 13312032 16640040 22186720 33280080 66560160