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420096126 = 23537731709
BaseRepresentation
bin11001000010100…
…010100001111110
31002021111002112210
4121002202201332
51330021034001
6105404041250
713260521022
oct3102424176
91067432483
10420096126
111a615148a
12b8833226
13690596b8
143db16382
1526d32dd6
hex190a287e

420096126 has 32 divisors (see below), whose sum is σ = 857653920. Its totient is φ = 137131904.

The previous prime is 420096121. The next prime is 420096133. The reversal of 420096126 is 621690024.

It is a junction number, because it is equal to n+sod(n) for n = 420096093 and 420096102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420096121) 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 15 ways as a sum of consecutive naturals, for example, 244960 + ... + 246668.

It is an arithmetic number, because the mean of its divisors is an integer number (26801685).

Almost surely, 2420096126 is an apocalyptic number.

420096126 is an abundant number, since it is smaller than the sum of its proper divisors (437557794).

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

420096126 is a wasteful number, since it uses less digits than its factorization.

420096126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 420096126 is about 20496.2466320056. The cubic root of 420096126 is about 748.9443673278.

The spelling of 420096126 in words is "four hundred twenty million, ninety-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 53 106 159 318 773 1546 1709 2319 3418 4638 5127 10254 40969 81938 90577 122907 181154 245814 271731 543462 1321057 2642114 3963171 7926342 70016021 140032042 210048063 420096126