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20020402400 = 255242159443
BaseRepresentation
bin10010101001010011…
…110001100011100000
31220200020220211002012
4102221103301203200
5312000210334100
613110334412052
71306060420055
oct225123614340
956606824065
1020020402400
118543aa4709
123a68961028
131b7099c26b
14d7ccb702c
157c294b135
hex4a94f18e0

20020402400 has 72 divisors (see below), whose sum is σ = 48991723704. Its totient is φ = 7989004800.

The previous prime is 20020402399. The next prime is 20020402403. The reversal of 20020402400 is 420402002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020402403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307079 + ... + 366521.

It is an arithmetic number, because the mean of its divisors is an integer number (680440607).

Almost surely, 220020402400 is an apocalyptic number.

20020402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24495861852).

20020402400 is an abundant number, since it is smaller than the sum of its proper divisors (28971321304).

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

20020402400 is a wasteful number, since it uses less digits than its factorization.

20020402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59884 (or 59871 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20020402400 its reverse (420402002), we get a palindrome (20440804402).

The spelling of 20020402400 in words is "twenty billion, twenty million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 421 800 842 1684 2105 3368 4210 6736 8420 10525 13472 16840 21050 33680 42100 59443 67360 84200 118886 168400 237772 297215 336800 475544 594430 951088 1188860 1486075 1902176 2377720 2972150 4755440 5944300 9510880 11888600 23777200 25025503 47554400 50051006 100102012 125127515 200204024 250255030 400408048 500510060 625637575 800816096 1001020120 1251275150 2002040240 2502550300 4004080480 5005100600 10010201200 20020402400