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420440031 = 33112128693
BaseRepresentation
bin11001000011110…
…110011111011111
31002022010120022000
4121003312133133
51330113040111
6105415253343
713263452454
oct3103663737
91068116260
10420440031
111a6366900
12b897a253
136914a0ab
143dba582b
1526d9ec56
hex190f67df

420440031 has 24 divisors (see below), whose sum is σ = 684652080. Its totient is φ = 254810160.

The previous prime is 420440003. The next prime is 420440047. The reversal of 420440031 is 130044024.

It is not a de Polignac number, because 420440031 - 210 = 420439007 is a prime.

It is a super-2 number, since 2×4204400312 = 353539639334561922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420439986 and 420440013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420440131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61080 + ... + 67613.

It is an arithmetic number, because the mean of its divisors is an integer number (28527170).

Almost surely, 2420440031 is an apocalyptic number.

420440031 is a deficient number, since it is larger than the sum of its proper divisors (264212049).

420440031 is a wasteful number, since it uses less digits than its factorization.

420440031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128724 (or 128707 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420440031 is about 20504.6343785984. The cubic root of 420440031 is about 749.1486820426.

Adding to 420440031 its reverse (130044024), we get a palindrome (550484055).

The spelling of 420440031 in words is "four hundred twenty million, four hundred forty thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 128693 386079 1158237 1415623 3474711 4246869 12740607 15571853 38221821 46715559 140146677 420440031