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420532112 = 24721131331
BaseRepresentation
bin11001000100001…
…100111110010000
31002022022020121102
4121010030332100
51330124011422
6105421243532
713264315100
oct3104147620
91068266542
10420532112
111a641a000
12b8a035a8
136917cc90
143dbcb200
1526dbc192
hex1910cf90

420532112 has 240 divisors, whose sum is σ = 1158925824. Its totient is φ = 146361600.

The previous prime is 420532097. The next prime is 420532141. The reversal of 420532112 is 211235024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13565537 + ... + 13565567.

Almost surely, 2420532112 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 420532112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579462912).

420532112 is an abundant number, since it is smaller than the sum of its proper divisors (738393712).

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

420532112 is a wasteful number, since it uses less digits than its factorization.

420532112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 420532112 is about 20506.8796261157. The cubic root of 420532112 is about 749.2033686561.

Adding to 420532112 its reverse (211235024), we get a palindrome (631767136).

The spelling of 420532112 in words is "four hundred twenty million, five hundred thirty-two thousand, one hundred twelve".