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420706608 = 24371252103
BaseRepresentation
bin11001000100110…
…111100100110000
31002022122002222020
4121010313210300
51330200102413
6105425111440
713265642610
oct3104674460
91068562866
10420706608
111a6529113
12b8a88580
136921152a
143dc34a40
1526e03c23
hex19137930

420706608 has 40 divisors (see below), whose sum is σ = 1242087168. Its totient is φ = 120201792.

The previous prime is 420706603. The next prime is 420706609. The reversal of 420706608 is 806607024.

It is not an unprimeable number, because it can be changed into a prime (420706603) 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, 625716 + ... + 626387.

Almost surely, 2420706608 is an apocalyptic number.

420706608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420706608 is an abundant number, since it is smaller than the sum of its proper divisors (821380560).

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

420706608 is a wasteful number, since it uses less digits than its factorization.

420706608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252121 (or 1252115 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 420706608 is about 20511.1337570598. The cubic root of 420706608 is about 749.3069793827.

The spelling of 420706608 in words is "four hundred twenty million, seven hundred six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1252103 2504206 3756309 5008412 7512618 8764721 10016824 15025236 17529442 20033648 26294163 30050472 35058884 52588326 60100944 70117768 105176652 140235536 210353304 420706608