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420537405 = 35231218949
BaseRepresentation
bin11001000100001…
…110010000111101
31002022022111212110
4121010032100331
51330124144110
6105421324233
713264336401
oct3104162075
91068274773
10420537405
111a6422a82
12b8a06679
1369182502
143dbcd101
1526dbda20
hex1910e43d

420537405 has 16 divisors (see below), whose sum is σ = 702115200. Its totient is φ = 214534848.

The previous prime is 420537401. The next prime is 420537407. The reversal of 420537405 is 504735024.

It is not a de Polignac number, because 420537405 - 22 = 420537401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420537401) 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 15 ways as a sum of consecutive naturals, for example, 609130 + ... + 609819.

It is an arithmetic number, because the mean of its divisors is an integer number (43882200).

Almost surely, 2420537405 is an apocalyptic number.

It is an amenable number.

420537405 is a deficient number, since it is larger than the sum of its proper divisors (281577795).

420537405 is a wasteful number, since it uses less digits than its factorization.

420537405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218980.

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 420537405 is about 20507.0086799611. The cubic root of 420537405 is about 749.2065119094.

The spelling of 420537405 in words is "four hundred twenty million, five hundred thirty-seven thousand, four hundred five".

Divisors: 1 3 5 15 23 69 115 345 1218949 3656847 6094745 18284235 28035827 84107481 140179135 420537405