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42630160 = 245412317
BaseRepresentation
bin1010001010011…
…1110000010000
32222012211120211
42202213300100
541403131120
64121413504
71025231116
oct242476020
988184524
1042630160
1122077741
121233a294
138aa7a61
145939ab6
153b2125a
hex28a7c10

42630160 has 60 divisors (see below), whose sum is σ = 101912004. Its totient is φ = 16583680.

The previous prime is 42630143. The next prime is 42630193. The reversal of 42630160 is 6103624.

It can be written as a sum of positive squares in 6 ways, for example, as 26501904 + 16128256 = 5148^2 + 4016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134322 + ... + 134638.

Almost surely, 242630160 is an apocalyptic number.

42630160 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 42630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50956002).

42630160 is an abundant number, since it is smaller than the sum of its proper divisors (59281844).

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

42630160 is a wasteful number, since it uses less digits than its factorization.

42630160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 42630160 is about 6529.1775898654. The cubic root of 42630160 is about 349.3324964855.

Adding to 42630160 its reverse (6103624), we get a palindrome (48733784).

The spelling of 42630160 in words is "forty-two million, six hundred thirty thousand, one hundred sixty".