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42104140 = 22513672417
BaseRepresentation
bin1010000010011…
…1010101001100
32221020010000121
42200213111030
541234313030
64102234324
71020610411
oct240472514
987203017
1042104140
1121848511
12121259a4
1389524c0
145840108
153a6a47a
hex282754c

42104140 has 48 divisors (see below), whose sum is σ = 96681312. Its totient is φ = 15307776.

The previous prime is 42104131. The next prime is 42104141. The reversal of 42104140 is 4140124.

It is not an unprimeable number, because it can be changed into a prime (42104141) by changing a digit.

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, 16212 + ... + 18628.

It is an arithmetic number, because the mean of its divisors is an integer number (2014194).

Almost surely, 242104140 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 42104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48340656).

42104140 is an abundant number, since it is smaller than the sum of its proper divisors (54577172).

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

42104140 is a wasteful number, since it uses less digits than its factorization.

42104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42104140 is about 6488.7702995252. The cubic root of 42104140 is about 347.8897237234.

Adding to 42104140 its reverse (4140124), we get a palindrome (46244264).

The spelling of 42104140 in words is "forty-two million, one hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 2417 3484 4355 4834 8710 9668 12085 17420 24170 31421 48340 62842 125684 157105 161939 314210 323878 628420 647756 809695 1619390 2105207 3238780 4210414 8420828 10526035 21052070 42104140