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420496971 = 32337164707
BaseRepresentation
bin11001000100000…
…100011001001011
31002022020110101220
4121010010121023
51330121400341
6105420413123
713264110456
oct3104043113
91068213356
10420496971
111a63a5664
12b89a71a3
1369169c9b
143dbbc49d
1526db1a66
hex1910464b

420496971 has 16 divisors (see below), whose sum is σ = 600854784. Its totient is φ = 260894304.

The previous prime is 420496969. The next prime is 420496981. The reversal of 420496971 is 179694024.

It is not a de Polignac number, because 420496971 - 21 = 420496969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420496981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79801 + ... + 84906.

It is an arithmetic number, because the mean of its divisors is an integer number (37553424).

Almost surely, 2420496971 is an apocalyptic number.

420496971 is a deficient number, since it is larger than the sum of its proper divisors (180357813).

420496971 is a wasteful number, since it uses less digits than its factorization.

420496971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164770.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 420496971 is about 20506.0227981927. The cubic root of 420496971 is about 749.1824994698.

The spelling of 420496971 in words is "four hundred twenty million, four hundred ninety-six thousand, nine hundred seventy-one".

Divisors: 1 3 23 37 69 111 851 2553 164707 494121 3788261 6094159 11364783 18282477 140165657 420496971