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420484037 is a prime number
BaseRepresentation
bin11001000100000…
…001001111000101
31002022012210122212
4121010001033011
51330120442122
6105420233205
713264024661
oct3104011705
91068183585
10420484037
111a6396976
12b899b805
136916412c
143dbb78a1
1526dacce2
hex191013c5

420484037 has 2 divisors, whose sum is σ = 420484038. Its totient is φ = 420484036.

The previous prime is 420484013. The next prime is 420484087. The reversal of 420484037 is 730484024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 371679841 + 48804196 = 19279^2 + 6986^2 .

It is a cyclic number.

It is not a de Polignac number, because 420484037 - 222 = 416289733 is a prime.

It is a super-3 number, since 3×4204840373 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420483994 and 420484012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420484087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210242018 + 210242019.

It is an arithmetic number, because the mean of its divisors is an integer number (210242019).

Almost surely, 2420484037 is an apocalyptic number.

It is an amenable number.

420484037 is a deficient number, since it is larger than the sum of its proper divisors (1).

420484037 is an equidigital number, since it uses as much as digits as its factorization.

420484037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 420484037 is about 20505.7074250073. The cubic root of 420484037 is about 749.1748180623.

The spelling of 420484037 in words is "four hundred twenty million, four hundred eighty-four thousand, thirty-seven".