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420103024 = 24117133619
BaseRepresentation
bin11001000010100…
…100001101110000
31002021111110000021
4121002210031300
51330021244044
6105404133224
713260550105
oct3102441560
91067443007
10420103024
111a6156690
12b8837214
136905c893
143db18aac
1526d34e84
hex190a4370

420103024 has 40 divisors (see below), whose sum is σ = 900478080. Its totient is φ = 188260800.

The previous prime is 420103007. The next prime is 420103039. The reversal of 420103024 is 420301024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 420102989 and 420103007.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 4314 + ... + 29305.

It is an arithmetic number, because the mean of its divisors is an integer number (22511952).

Almost surely, 2420103024 is an apocalyptic number.

420103024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420103024 is an abundant number, since it is smaller than the sum of its proper divisors (480375056).

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

420103024 is a wasteful number, since it uses less digits than its factorization.

420103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33709 (or 33703 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 420103024 is about 20496.4149060269. The cubic root of 420103024 is about 748.9484665403.

Adding to 420103024 its reverse (420301024), we get a palindrome (840404048).

The spelling of 420103024 in words is "four hundred twenty million, one hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 12496 33619 67238 134476 268952 369809 537904 739618 1479236 2386949 2958472 4773898 5916944 9547796 19095592 26256439 38191184 52512878 105025756 210051512 420103024