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420305100 = 223521401017
BaseRepresentation
bin11001000011010…
…101100011001100
31002021212201012120
4121003111203030
51330044230400
6105412332540
713262351205
oct3103254314
91067781176
10420305100
111a6284496
12b8914150
1369100857
143db6c5ac
1526d74ca0
hex190d58cc

420305100 has 36 divisors (see below), whose sum is σ = 1216083624. Its totient is φ = 112081280.

The previous prime is 420305087. The next prime is 420305101. The reversal of 420305100 is 1503024.

420305100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420305100.

It is not an unprimeable number, because it can be changed into a prime (420305101) 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 11 ways as a sum of consecutive naturals, for example, 700209 + ... + 700808.

Almost surely, 2420305100 is an apocalyptic number.

It is an amenable number.

420305100 is an abundant number, since it is smaller than the sum of its proper divisors (795778524).

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

420305100 is a wasteful number, since it uses less digits than its factorization.

420305100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401034 (or 1401027 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 420305100 is about 20501.3438583913. The cubic root of 420305100 is about 749.0685325256.

Adding to 420305100 its reverse (1503024), we get a palindrome (421808124).

The spelling of 420305100 in words is "four hundred twenty million, three hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1401017 2802034 4203051 5604068 7005085 8406102 14010170 16812204 21015255 28020340 35025425 42030510 70050850 84061020 105076275 140101700 210152550 420305100