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420780516 = 223134615851
BaseRepresentation
bin11001000101001…
…001100111100100
31002022202212100120
4121011021213210
51330204434031
6105430441540
713266401232
oct3105114744
91068685316
10420780516
111a65796a2
12b8b032b0
1369239070
143dc53952
1526e1aa96
hex191499e4

420780516 has 48 divisors (see below), whose sum is σ = 1059820608. Its totient is φ = 129168000.

The previous prime is 420780509. The next prime is 420780527. The reversal of 420780516 is 615087024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68991 + ... + 74841.

It is an arithmetic number, because the mean of its divisors is an integer number (22079596).

Almost surely, 2420780516 is an apocalyptic number.

It is an amenable number.

420780516 is an abundant number, since it is smaller than the sum of its proper divisors (639040092).

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

420780516 is a wasteful number, since it uses less digits than its factorization.

420780516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 420780516 is about 20512.9353335889. The cubic root of 420780516 is about 749.3508551990.

The spelling of 420780516 in words is "four hundred twenty million, seven hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 461 922 1383 1844 2766 5532 5851 5993 11702 11986 17553 17979 23404 23972 35106 35958 70212 71916 76063 152126 228189 304252 456378 912756 2697311 5394622 8091933 10789244 16183866 32367732 35065043 70130086 105195129 140260172 210390258 420780516