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20402400420 = 2233537782223
BaseRepresentation
bin10011000000000100…
…111110110010100100
31221122212201022212000
4103000010332302210
5313241003303140
613212302125300
71321406353653
oct230004766244
957585638760
1020402400420
11871a694456
123b54880830
131c01b799ac
14db791319a
157e6255a30
hex4c013eca4

20402400420 has 48 divisors (see below), whose sum is σ = 63474136320. Its totient is φ = 5440639968.

The previous prime is 20402400409. The next prime is 20402400427. The reversal of 20402400420 is 2400420402.

20402400420 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 240 + 0 + 420 = 666.

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 = 20402400393 and 20402400402.

It is not an unprimeable number, because it can be changed into a prime (20402400427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18890572 + ... + 18891651.

It is an arithmetic number, because the mean of its divisors is an integer number (1322377840).

Almost surely, 220402400420 is an apocalyptic number.

20402400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20402400420 is an abundant number, since it is smaller than the sum of its proper divisors (43071735900).

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

20402400420 is a wasteful number, since it uses less digits than its factorization.

20402400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37782241 (or 37782233 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20402400420 its reverse (2400420402), we get a palindrome (22802820822).

The spelling of 20402400420 in words is "twenty billion, four hundred two million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 37782223 75564446 113346669 151128892 188911115 226693338 340040007 377822230 453386676 566733345 680080014 755644460 1020120021 1133466690 1360160028 1700200035 2040240042 2266933380 3400400070 4080480084 5100600105 6800800140 10201200210 20402400420