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20020414320 = 2432527806131
BaseRepresentation
bin10010101001010011…
…110100011101110000
31220200020221102102200
4102221103310131300
5312000211224240
613110334543200
71306060466604
oct225123643560
956606842380
1020020414320
118544002665
123a68967b00
131b709a480a
14d7ccbb504
157c294e930
hex4a94f4770

20020414320 has 60 divisors (see below), whose sum is σ = 67235227176. Its totient is φ = 5338776960.

The previous prime is 20020414301. The next prime is 20020414321. The reversal of 20020414320 is 2341402002.

20020414320 is a `hidden beast` number, since 200 + 20 + 414 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×200204143202 (a number of 21 digits) contains 22 as substring.

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 = 20020414293 and 20020414302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020414321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13902346 + ... + 13903785.

Almost surely, 220020414320 is an apocalyptic number.

20020414320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020414320 is an abundant number, since it is smaller than the sum of its proper divisors (47214812856).

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

20020414320 is a wasteful number, since it uses less digits than its factorization.

20020414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806150 (or 27806141 counting only the distinct ones).

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

Adding to 20020414320 its reverse (2341402002), we get a palindrome (22361816322).

The spelling of 20020414320 in words is "twenty billion, twenty million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 27806131 55612262 83418393 111224524 139030655 166836786 222449048 250255179 278061310 333673572 417091965 444898096 500510358 556122620 667347144 834183930 1001020716 1112245240 1251275895 1334694288 1668367860 2002041432 2224490480 2502551790 3336735720 4004082864 5005103580 6673471440 10010207160 20020414320