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20040522320 = 2457134496131
BaseRepresentation
bin10010101010100000…
…100001101001010000
31220201122210000102102
4102222200201221100
5312020333203240
613112333535532
71306423425530
oct225240415120
956648700372
1020040522320
118554397045
123a736445a8
131b74bc5140
14d818334c0
157c45c2815
hex4aa821a50

20040522320 has 160 divisors (see below), whose sum is σ = 57483820800. Its totient is φ = 6327336960.

The previous prime is 20040522317. The next prime is 20040522347. The reversal of 20040522320 is 2322504002.

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 = 20040522292 and 20040522301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3265655 + ... + 3271785.

It is an arithmetic number, because the mean of its divisors is an integer number (359273880).

Almost surely, 220040522320 is an apocalyptic number.

20040522320 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 20040522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28741910400).

20040522320 is an abundant number, since it is smaller than the sum of its proper divisors (37443298480).

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

20040522320 is a wasteful number, since it uses less digits than its factorization.

20040522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The spelling of 20040522320 in words is "twenty billion, forty million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 449 455 520 560 728 898 910 1040 1456 1796 1820 2245 3143 3592 3640 4490 5837 6131 6286 7184 7280 8980 11674 12262 12572 15715 17960 23348 24524 25144 29185 30655 31430 35920 40859 42917 46696 49048 50288 58370 61310 62860 79703 81718 85834 93392 98096 116740 122620 125720 159406 163436 171668 204295 214585 233480 245240 251440 318812 326872 343336 398515 408590 429170 466960 490480 557921 637624 653744 686672 797030 817180 858340 1115842 1275248 1594060 1634360 1716680 2231684 2752819 2789605 3188120 3268720 3433360 4463368 5505638 5579210 6376240 8926736 11011276 11158420 13764095 19269733 22022552 22316840 27528190 35786647 38539466 44045104 44633680 55056380 71573294 77078932 96348665 110112760 143146588 154157864 178933235 192697330 220225520 250506529 286293176 308315728 357866470 385394660 501013058 572586352 715732940 770789320 1002026116 1252532645 1431465880 1541578640 2004052232 2505065290 2862931760 4008104464 5010130580 10020261160 20040522320