Search a number
-
+
20520332120 = 23517197321757
BaseRepresentation
bin10011000111000110…
…110110101101011000
31221222002121212201202
4103013012312231120
5314011201111440
613232113533332
71324340642111
oct230706665530
957862555652
1020520332120
118780213272
123b88274248
131c2042b372
14dc9451208
1580179d615
hex4c71b6b58

20520332120 has 128 divisors (see below), whose sum is σ = 52166980800. Its totient is φ = 7218118656.

The previous prime is 20520332099. The next prime is 20520332197. The reversal of 20520332120 is 2123302502.

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 = 20520332092 and 20520332101.

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, 932282 + ... + 954038.

Almost surely, 220520332120 is an apocalyptic number.

20520332120 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 20520332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083490400).

20520332120 is an abundant number, since it is smaller than the sum of its proper divisors (31646648680).

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

20520332120 is a wasteful number, since it uses less digits than its factorization.

20520332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21877 (or 21873 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 20520332120 its reverse (2123302502), we get a palindrome (22643634622).

The spelling of 20520332120 in words is "twenty billion, five hundred twenty million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 73 76 85 95 136 146 152 170 190 292 323 340 365 380 584 646 680 730 760 1241 1292 1387 1460 1615 2482 2584 2774 2920 3230 4964 5548 6205 6460 6935 9928 11096 12410 12920 13870 21757 23579 24820 27740 43514 47158 49640 55480 87028 94316 108785 117895 174056 188632 217570 235790 369869 413383 435140 471580 739738 826766 870280 943160 1479476 1588261 1653532 1849345 2066915 2958952 3176522 3307064 3698690 4133830 6353044 7027511 7397380 7941305 8267660 12706088 14055022 14794760 15882610 16535320 27000437 28110044 30176959 31765220 35137555 54000874 56220088 60353918 63530440 70275110 108001748 120707836 135002185 140550220 150884795 216003496 241415672 270004370 281100440 301769590 513008303 540008740 603539180 1026016606 1080017480 1207078360 2052033212 2565041515 4104066424 5130083030 10260166060 20520332120