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420712240 = 24513404531
BaseRepresentation
bin11001000100111…
…000111100110000
31002022122101200211
4121010320330300
51330200242430
6105425153504
713265665204
oct3104707460
91068571624
10420712240
111a6532373
12b8a8b894
1369213c70
143dc36b04
1526e0572a
hex19138f30

420712240 has 40 divisors (see below), whose sum is σ = 1053401328. Its totient is φ = 155339520.

The previous prime is 420712219. The next prime is 420712241. The reversal of 420712240 is 42217024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (420712241) 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, 201226 + ... + 203305.

Almost surely, 2420712240 is an apocalyptic number.

420712240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420712240 is an abundant number, since it is smaller than the sum of its proper divisors (632689088).

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

420712240 is a wasteful number, since it uses less digits than its factorization.

420712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404557 (or 404551 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 420712240 is about 20511.2710478897. The cubic root of 420712240 is about 749.3103230257.

Adding to 420712240 its reverse (42217024), we get a palindrome (462929264).

The spelling of 420712240 in words is "four hundred twenty million, seven hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 404531 809062 1618124 2022655 3236248 4045310 5258903 6472496 8090620 10517806 16181240 21035612 26294515 32362480 42071224 52589030 84142448 105178060 210356120 420712240