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20030820320 = 255787720393
BaseRepresentation
bin10010101001111011…
…100000111111100000
31220200222112002210002
4102221323200333200
5312010342222240
613111345555132
71306245110030
oct225173407740
956628462702
1020030820320
11854996a865
123a70345aa8
131b72ba9104
14d804298c0
157c3807d15
hex4a9ee0fe0

20030820320 has 96 divisors (see below), whose sum is σ = 54147538368. Its totient is φ = 6859542528.

The previous prime is 20030820287. The next prime is 20030820323. The reversal of 20030820320 is 2302803002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20030820292 and 20030820301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030820323) 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, 972044 + ... + 992436.

It is an arithmetic number, because the mean of its divisors is an integer number (564036858).

Almost surely, 220030820320 is an apocalyptic number.

20030820320 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 20030820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27073769184).

20030820320 is an abundant number, since it is smaller than the sum of its proper divisors (34116718048).

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

20030820320 is a wasteful number, since it uses less digits than its factorization.

20030820320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21292 (or 21284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 20030820320 in words is "twenty billion, thirty million, eight hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 877 1120 1754 3508 4385 6139 7016 8770 12278 14032 17540 20393 24556 28064 30695 35080 40786 49112 61390 70160 81572 98224 101965 122780 140320 142751 163144 196448 203930 245560 285502 326288 407860 491120 571004 652576 713755 815720 982240 1142008 1427510 1631440 2284016 2855020 3262880 4568032 5710040 11420080 17884661 22840160 35769322 71538644 89423305 125192627 143077288 178846610 250385254 286154576 357693220 500770508 572309152 625963135 715386440 1001541016 1251926270 1430772880 2003082032 2503852540 2861545760 4006164064 5007705080 10015410160 20030820320