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42106540 = 2257300761
BaseRepresentation
bin1010000010011…
…1111010101100
32221020020022111
42200213322230
541234402130
64102253404
71020620410
oct240477254
987206274
1042106540
112184a2a3
1212127264
138953618
145840d40
153a6b02a
hex2827eac

42106540 has 24 divisors (see below), whose sum is σ = 101056032. Its totient is φ = 14436480.

The previous prime is 42106513. The next prime is 42106541. The reversal of 42106540 is 4560124.

42106540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42106541) 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, 150241 + ... + 150520.

It is an arithmetic number, because the mean of its divisors is an integer number (4210668).

Almost surely, 242106540 is an apocalyptic number.

It is an amenable number.

42106540 is an abundant number, since it is smaller than the sum of its proper divisors (58949492).

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

42106540 is a wasteful number, since it uses less digits than its factorization.

42106540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300777 (or 300775 counting only the distinct ones).

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

The square root of 42106540 is about 6488.9552317765. The cubic root of 42106540 is about 347.8963336789.

Adding to 42106540 its reverse (4560124), we get a palindrome (46666664).

The spelling of 42106540 in words is "forty-two million, one hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 300761 601522 1203044 1503805 2105327 3007610 4210654 6015220 8421308 10526635 21053270 42106540