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4142560 = 255171523
BaseRepresentation
bin1111110011010111100000
321210110112011
433303113200
52030030220
6224442304
750132302
oct17632740
97713464
104142560
11237a404
121479394
13b20726
1479b972
1556c65a
hex3f35e0

4142560 has 48 divisors (see below), whose sum is σ = 10369296. Its totient is φ = 1558528.

The previous prime is 4142521. The next prime is 4142569. The reversal of 4142560 is 652414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142569) 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 7 ways as a sum of consecutive naturals, for example, 1959 + ... + 3481.

It is an arithmetic number, because the mean of its divisors is an integer number (216027).

Almost surely, 24142560 is an apocalyptic number.

4142560 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 4142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184648).

4142560 is an abundant number, since it is smaller than the sum of its proper divisors (6226736).

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

4142560 is a wasteful number, since it uses less digits than its factorization.

4142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4142560 is about 2035.3279833973. The cubic root of 4142560 is about 160.6039672784.

Adding to 4142560 its reverse (652414), we get a palindrome (4794974).

The spelling of 4142560 in words is "four million, one hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 1523 2720 3046 6092 7615 12184 15230 24368 25891 30460 48736 51782 60920 103564 121840 129455 207128 243680 258910 414256 517820 828512 1035640 2071280 4142560