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42040320 = 2103571723
BaseRepresentation
bin1010000001011…
…1110000000000
32221002212110220
42200113300000
541230242240
64101023040
71020223350
oct240276000
987085426
1042040320
1121804573
12120b4a80
13892c43a
145824b60
153a565d0
hex2817c00

42040320 has 352 divisors, whose sum is σ = 169786368. Its totient is φ = 8650752.

The previous prime is 42040301. The next prime is 42040321. The reversal of 42040320 is 2304024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 42040320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42040321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827829 + ... + 1827851.

Almost surely, 242040320 is an apocalyptic number.

42040320 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 42040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84893184).

42040320 is an abundant number, since it is smaller than the sum of its proper divisors (127746048).

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

42040320 is a wasteful number, since it uses less digits than its factorization.

42040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42040320 is about 6483.8507077199. The cubic root of 42040320 is about 347.7138617657.

Adding to 42040320 its reverse (2304024), we get a palindrome (44344344).

The spelling of 42040320 in words is "forty-two million, forty thousand, three hundred twenty".