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20340120420 = 22325113000669
BaseRepresentation
bin10010111100010111…
…011001101101100100
31221111112112011202100
4102330113121231210
5313124032323140
613202155212100
71320022112424
oct227427315544
957445464670
1020340120420
118698516584
123b37a47030
131bc1cb2019
14dad540484
157e0a52530
hex4bc5d9b64

20340120420 has 36 divisors (see below), whose sum is σ = 61698365820. Its totient is φ = 5424032064.

The previous prime is 20340120413. The next prime is 20340120433. The reversal of 20340120420 is 2402104302.

20340120420 is a `hidden beast` number, since 203 + 40 + 1 + 2 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14181951744 + 6158168676 = 119088^2 + 78474^2 .

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 = 20340120393 and 20340120402.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 56500155 + ... + 56500514.

It is an arithmetic number, because the mean of its divisors is an integer number (1713843495).

Almost surely, 220340120420 is an apocalyptic number.

20340120420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20340120420 is an abundant number, since it is smaller than the sum of its proper divisors (41358245400).

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

20340120420 is a wasteful number, since it uses less digits than its factorization.

20340120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113000684 (or 113000679 counting only the distinct ones).

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

Adding to 20340120420 its reverse (2402104302), we get a palindrome (22742224722).

The spelling of 20340120420 in words is "twenty billion, three hundred forty million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 113000669 226001338 339002007 452002676 565003345 678004014 1017006021 1130006690 1356008028 1695010035 2034012042 2260013380 3390020070 4068024084 5085030105 6780040140 10170060210 20340120420