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420041124 = 223273159833
BaseRepresentation
bin11001000010010…
…101000110100100
31002021101022002200
4121002111012210
51330012303444
6105402534500
713260201456
oct3102250644
91067338080
10420041124
111a6114128
12b8807430
136903a659
143db002d6
1526d21969
hex190951a4

420041124 has 36 divisors (see below), whose sum is σ = 1076322156. Its totient is φ = 138094848.

The previous prime is 420041093. The next prime is 420041143. The reversal of 420041124 is 421140024.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 335988900 = 9168^2 + 18330^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420041097 and 420041106.

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 11 ways as a sum of consecutive naturals, for example, 77289 + ... + 82544.

Almost surely, 2420041124 is an apocalyptic number.

It is an amenable number.

420041124 is an abundant number, since it is smaller than the sum of its proper divisors (656281032).

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

420041124 is a wasteful number, since it uses less digits than its factorization.

420041124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159916 (or 159911 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420041124 is about 20494.9048302255. The cubic root of 420041124 is about 748.9116801772.

Adding to 420041124 its reverse (421140024), we get a palindrome (841181148).

The spelling of 420041124 in words is "four hundred twenty million, forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 159833 319666 479499 639332 958998 1438497 1917996 2876994 5753988 11667809 23335618 35003427 46671236 70006854 105010281 140013708 210020562 420041124