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4242140 = 2257157193
BaseRepresentation
bin10000001011101011011100
321222112010022
4100023223130
52041222030
6230531312
751025520
oct20135334
97875108
104242140
112438201
121506b38
13b56b56
147c5d80
1558bde5
hex40badc

4242140 has 48 divisors (see below), whose sum is σ = 10299072. Its totient is φ = 1437696.

The previous prime is 4242137. The next prime is 4242167. The reversal of 4242140 is 412424.

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, 21884 + ... + 22076.

It is an arithmetic number, because the mean of its divisors is an integer number (214564).

Almost surely, 24242140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149536).

4242140 is an abundant number, since it is smaller than the sum of its proper divisors (6056932).

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

4242140 is a wasteful number, since it uses less digits than its factorization.

4242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4242140 is about 2059.6456005828. The cubic root of 4242140 is about 161.8806721725.

Adding to 4242140 its reverse (412424), we get a palindrome (4654564).

The spelling of 4242140 in words is "four million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 193 314 386 628 772 785 965 1099 1351 1570 1930 2198 2702 3140 3860 4396 5404 5495 6755 10990 13510 21980 27020 30301 60602 121204 151505 212107 303010 424214 606020 848428 1060535 2121070 4242140