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420712144 = 24251104759
BaseRepresentation
bin11001000100111…
…000111011010000
31002022122101120021
4121010320323100
51330200242034
6105425153224
713265665006
oct3104707320
91068571507
10420712144
111a6532296
12b8a8b814
1369213bc8
143dc36a76
1526e056b4
hex19138ed0

420712144 has 20 divisors (see below), whose sum is σ = 818385120. Its totient is φ = 209516000.

The previous prime is 420712121. The next prime is 420712151. The reversal of 420712144 is 441217024.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 48364 + ... + 56395.

It is an arithmetic number, because the mean of its divisors is an integer number (40919256).

Almost surely, 2420712144 is an apocalyptic number.

It is an amenable number.

420712144 is a deficient number, since it is larger than the sum of its proper divisors (397672976).

420712144 is a wasteful number, since it uses less digits than its factorization.

420712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105018 (or 105012 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 420712144 is about 20511.2687077128. The cubic root of 420712144 is about 749.3102660320.

Adding to 420712144 its reverse (441217024), we get a palindrome (861929168).

It can be divided in two parts, 420712 and 144, that multiplied together give a triangular number (60582528 = T11007).

The spelling of 420712144 in words is "four hundred twenty million, seven hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 251 502 1004 2008 4016 104759 209518 419036 838072 1676144 26294509 52589018 105178036 210356072 420712144