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20230411320 = 2332578027941
BaseRepresentation
bin10010110101110100…
…111001010000111000
31221012220002101011100
4102311310321100320
5312412441130240
613143235531400
71314220442010
oct226564712070
957186071140
1020230411320
1186415a34a9
123b07159b60
131ba534c1b2
14d9cb42c40
157d60d0e30
hex4b5d39438

20230411320 has 96 divisors (see below), whose sum is σ = 75141537120. Its totient is φ = 4624093440.

The previous prime is 20230411309. The next prime is 20230411321. The reversal of 20230411320 is 2311403202.

20230411320 is a `hidden beast` number, since 2 + 0 + 230 + 411 + 3 + 20 = 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 = 20230411293 and 20230411302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20230411321) 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 23 ways as a sum of consecutive naturals, for example, 4011451 + ... + 4016490.

It is an arithmetic number, because the mean of its divisors is an integer number (782724345).

Almost surely, 220230411320 is an apocalyptic number.

20230411320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20230411320 is an abundant number, since it is smaller than the sum of its proper divisors (54911125800).

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

20230411320 is a wasteful number, since it uses less digits than its factorization.

20230411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027965 (or 8027958 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20230411320 its reverse (2311403202), we get a palindrome (22541814522).

The spelling of 20230411320 in words is "twenty billion, two hundred thirty million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8027941 16055882 24083823 32111764 40139705 48167646 56195587 64223528 72251469 80279410 96335292 112391174 120419115 144502938 160558820 168586761 192670584 224782348 240838230 280977935 289005876 321117640 337173522 361257345 449564696 481676460 505760283 561955870 578011752 674347044 722514690 842933805 963352920 1011520566 1123911740 1348694088 1445029380 1685867610 2023041132 2247823480 2528801415 2890058760 3371735220 4046082264 5057602830 6743470440 10115205660 20230411320