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420310002 = 23747212923
BaseRepresentation
bin11001000011010…
…110101111110010
31002021212221221010
4121003112233302
51330044410002
6105412411350
713262401410
oct3103265762
91067787833
10420310002
111a6288142
12b8916b56
1369102b58
143db702b0
1526d7646c
hex190d6bf2

420310002 has 32 divisors (see below), whose sum is σ = 981153792. Its totient is φ = 117532944.

The previous prime is 420309991. The next prime is 420310003. The reversal of 420310002 is 200013024.

It is a self number, because there is not a number n which added to its sum of digits gives 420310002.

It is not an unprimeable number, because it can be changed into a prime (420310003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104488 + ... + 108435.

It is an arithmetic number, because the mean of its divisors is an integer number (30661056).

Almost surely, 2420310002 is an apocalyptic number.

420310002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

420310002 is an abundant number, since it is smaller than the sum of its proper divisors (560843790).

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

420310002 is a wasteful number, since it uses less digits than its factorization.

420310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212982.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 420310002 is about 20501.4634111812. The cubic root of 420310002 is about 749.0714446321.

Adding to 420310002 its reverse (200013024), we get a palindrome (620323026).

The spelling of 420310002 in words is "four hundred twenty million, three hundred ten thousand, two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 212923 425846 638769 1277538 1490461 2980922 4471383 8942766 10007381 20014762 30022143 60044286 70051667 140103334 210155001 420310002