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420701715 = 3357445187
BaseRepresentation
bin11001000100110…
…110011000010011
31002022121212021000
4121010312120103
51330144423330
6105425033043
713265622420
oct3104663023
91068555230
10420701715
111a6525475
12b8a85783
136920c235
143dc32d47
1526e02560
hex19136613

420701715 has 32 divisors (see below), whose sum is σ = 854760960. Its totient is φ = 192320352.

The previous prime is 420701711. The next prime is 420701773. The reversal of 420701715 is 517107024.

420701715 is a `hidden beast` number, since 420 + 70 + 171 + 5 = 666.

It is not a de Polignac number, because 420701715 - 22 = 420701711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420701711) 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 31 ways as a sum of consecutive naturals, for example, 221649 + ... + 223538.

It is an arithmetic number, because the mean of its divisors is an integer number (26711280).

Almost surely, 2420701715 is an apocalyptic number.

420701715 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420701715 is an abundant number, since it is smaller than the sum of its proper divisors (434059245).

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

420701715 is a wasteful number, since it uses less digits than its factorization.

420701715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445208 (or 445202 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 420701715 is about 20511.0144800300. The cubic root of 420701715 is about 749.3040744499.

Adding to 420701715 its reverse (517107024), we get a palindrome (937808739).

The spelling of 420701715 in words is "four hundred twenty million, seven hundred one thousand, seven hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 445187 1335561 2225935 3116309 4006683 6677805 9348927 12020049 15581545 20033415 28046781 46744635 60100245 84140343 140233905 420701715