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420020414 = 211183110427
BaseRepresentation
bin11001000010010…
…000000010111110
31002021100020200122
4121002100002332
51330011123124
6105402254542
713260054212
oct3102200276
91067306618
10420020414
111a60aa610
12b87b7452
13690310b8
143dad6942
1526d1a75e
hex190900be

420020414 has 16 divisors (see below), whose sum is σ = 687747456. Its totient is φ = 190795800.

The previous prime is 420020413. The next prime is 420020423. The reversal of 420020414 is 414020024.

It is a junction number, because it is equal to n+sod(n) for n = 420020392 and 420020401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420020413) 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 in 7 ways as a sum of consecutive naturals, for example, 35069 + ... + 45495.

It is an arithmetic number, because the mean of its divisors is an integer number (42984216).

Almost surely, 2420020414 is an apocalyptic number.

420020414 is a deficient number, since it is larger than the sum of its proper divisors (267727042).

420020414 is a wasteful number, since it uses less digits than its factorization.

420020414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 420020414 is about 20494.3995764697. The cubic root of 420020414 is about 748.8993716873.

Adding to 420020414 its reverse (414020024), we get a palindrome (834040438).

The spelling of 420020414 in words is "four hundred twenty million, twenty thousand, four hundred fourteen".

Divisors: 1 2 11 22 1831 3662 10427 20141 20854 40282 114697 229394 19091837 38183674 210010207 420020414