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4066160 = 245753137
BaseRepresentation
bin1111100000101101110000
321122120201112
433200231300
52020104120
6223052452
746363460
oct17405560
97576645
104066160
112327a6a
121441128
13ac4a17
1477bba0
15554bc5
hex3e0b70

4066160 has 80 divisors (see below), whose sum is σ = 11088576. Its totient is φ = 1357824.

The previous prime is 4066151. The next prime is 4066187. The reversal of 4066160 is 616604.

4066160 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 (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29612 + ... + 29748.

Almost surely, 24066160 is an apocalyptic number.

4066160 is a gapful number since it is divisible by the number (40) 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 4066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544288).

4066160 is an abundant number, since it is smaller than the sum of its proper divisors (7022416).

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

4066160 is a wasteful number, since it uses less digits than its factorization.

4066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4066160 is about 2016.4721669292. The cubic root of 4066160 is about 159.6105109670.

The spelling of 4066160 in words is "four million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 137 140 212 265 274 280 371 424 530 548 560 685 742 848 959 1060 1096 1370 1484 1855 1918 2120 2192 2740 2968 3710 3836 4240 4795 5480 5936 7261 7420 7672 9590 10960 14522 14840 15344 19180 29044 29680 36305 38360 50827 58088 72610 76720 101654 116176 145220 203308 254135 290440 406616 508270 580880 813232 1016540 2033080 4066160