Search a number
-
+
42140128 = 254132119
BaseRepresentation
bin1010000011000…
…0000111100000
32221021221101111
42200300013200
541241441003
64103113104
71021120342
oct240600740
987257344
1042140128
1121872558
1212142794
1389659b4
14584d292
153a75e6d
hex28301e0

42140128 has 24 divisors (see below), whose sum is σ = 84989520. Its totient is φ = 20555520.

The previous prime is 42140123. The next prime is 42140167. The reversal of 42140128 is 82104124.

It is a junction number, because it is equal to n+sod(n) for n = 42140099 and 42140108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42140123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14748 + ... + 17371.

It is an arithmetic number, because the mean of its divisors is an integer number (3541230).

Almost surely, 242140128 is an apocalyptic number.

It is an amenable number.

42140128 is an abundant number, since it is smaller than the sum of its proper divisors (42849392).

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

42140128 is a wasteful number, since it uses less digits than its factorization.

42140128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32170 (or 32162 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 42140128 is about 6491.5428058359. The cubic root of 42140128 is about 347.9888136625.

The spelling of 42140128 in words is "forty-two million, one hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 32119 64238 128476 256952 513904 1027808 1316879 2633758 5267516 10535032 21070064 42140128