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20402404320 = 253550384503
BaseRepresentation
bin10011000000000100…
…111111101111100000
31221122212201112012110
4103000010333233200
5313241003414240
613212302155320
71321406401224
oct230004775740
957585645173
1020402404320
11871a697381
123b54882b40
131c01b7b6bc
14db7914784
157e6256c80
hex4c013fbe0

20402404320 has 96 divisors (see below), whose sum is σ = 64396104192. Its totient is φ = 5429760512.

The previous prime is 20402404313. The next prime is 20402404333. The reversal of 20402404320 is 2340420402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199189 + ... + 283691.

It is an arithmetic number, because the mean of its divisors is an integer number (670792752).

Almost surely, 220402404320 is an apocalyptic number.

20402404320 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 20402404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32198052096).

20402404320 is an abundant number, since it is smaller than the sum of its proper divisors (43993699872).

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

20402404320 is a wasteful number, since it uses less digits than its factorization.

20402404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85024 (or 85016 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20402404320 its reverse (2340420402), we get a palindrome (22742824722).

The spelling of 20402404320 in words is "twenty billion, four hundred two million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 503 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 15090 16096 20120 24144 30180 40240 48288 60360 80480 84503 120720 169006 241440 253509 338012 422515 507018 676024 845030 1014036 1267545 1352048 1690060 2028072 2535090 2704096 3380120 4056144 5070180 6760240 8112288 10140360 13520480 20280720 40561440 42505009 85010018 127515027 170020036 212525045 255030054 340040072 425050090 510060108 637575135 680080144 850100180 1020120216 1275150270 1360160288 1700200360 2040240432 2550300540 3400400720 4080480864 5100601080 6800801440 10201202160 20402404320