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420063030 = 233517232173
BaseRepresentation
bin11001000010011…
…010011100110110
31002021102102011000
4121002122130312
51330014004110
6105403224130
713260322362
oct3102323466
91067372130
10420063030
111a6129632
12b8818046
136904760a
143db082a2
1526d281c0
hex1909a736

420063030 has 192 divisors, whose sum is σ = 1247037120. Its totient is φ = 100260864.

The previous prime is 420063029. The next prime is 420063037. The reversal of 420063030 is 30360024.

420063030 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 630 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420062994 and 420063012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420063037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2428024 + ... + 2428196.

It is an arithmetic number, because the mean of its divisors is an integer number (6494985).

Almost surely, 2420063030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420063030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623518560).

420063030 is an abundant number, since it is smaller than the sum of its proper divisors (826974090).

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

420063030 is a wasteful number, since it uses less digits than its factorization.

420063030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420063030 is about 20495.4392487695. The cubic root of 420063030 is about 748.9246990406.

The spelling of 420063030 in words is "four hundred twenty million, sixty-three thousand, thirty".