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420006581 = 7910152639
BaseRepresentation
bin11001000010001…
…100101010110101
31002021022112201022
4121002030222311
51330010202311
6105402110525
713256665661
oct3102145265
91067275638
10420006581
111a60a0185
12b87ab445
1369027a07
143dad18a1
1526d165db
hex1908cab5

420006581 has 8 divisors (see below), whose sum is σ = 429542400. Its totient is φ = 410576400.

The previous prime is 420006563. The next prime is 420006589. The reversal of 420006581 is 185600024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420006581 - 222 = 415812277 is a prime.

It is a super-2 number, since 2×4200065812 = 352811056166619122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420006581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420006589) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18341 + ... + 34298.

It is an arithmetic number, because the mean of its divisors is an integer number (53692800).

Almost surely, 2420006581 is an apocalyptic number.

It is an amenable number.

420006581 is a deficient number, since it is larger than the sum of its proper divisors (9535819).

420006581 is a wasteful number, since it uses less digits than its factorization.

420006581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52819.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 420006581 is about 20494.0620912497. The cubic root of 420006581 is about 748.8911501514.

The spelling of 420006581 in words is "four hundred twenty million, six thousand, five hundred eighty-one".

Divisors: 1 79 101 7979 52639 4158481 5316539 420006581