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2520220120 = 2351189139463
BaseRepresentation
bin1001011000110111…
…1000000111011000
320111122020110001221
42112031320013120
520130134020440
61054025021424
7116311342345
oct22615700730
96448213057
102520220120
111083664750
125a4024874
1331218bb12
1419c9d57cc
15eb3c1d4a
hex963781d8

2520220120 has 128 divisors (see below), whose sum is σ = 6314112000. Its totient is φ = 897684480.

The previous prime is 2520220111. The next prime is 2520220151. The reversal of 2520220120 is 210220252.

It is a junction number, because it is equal to n+sod(n) for n = 2520220094 and 2520220103.

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, 5443009 + ... + 5443471.

It is an arithmetic number, because the mean of its divisors is an integer number (49329000).

Almost surely, 22520220120 is an apocalyptic number.

2520220120 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 2520220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157056000).

2520220120 is an abundant number, since it is smaller than the sum of its proper divisors (3793891880).

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

2520220120 is a wasteful number, since it uses less digits than its factorization.

2520220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2520220120 is about 50201.7939918485. The cubic root of 2520220120 is about 1360.8580441735.

Adding to 2520220120 its reverse (210220252), we get a palindrome (2730440372).

The spelling of 2520220120 in words is "two billion, five hundred twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 139 178 220 278 356 440 445 463 556 695 712 890 926 979 1112 1390 1529 1780 1852 1958 2315 2780 3058 3560 3704 3916 4630 4895 5093 5560 6116 7645 7832 9260 9790 10186 12232 12371 15290 18520 19580 20372 24742 25465 30580 39160 40744 41207 49484 50930 61160 61855 64357 82414 98968 101860 123710 128714 136081 164828 203720 206035 247420 257428 272162 321785 329656 412070 453277 494840 514856 544324 643570 680405 707927 824140 906554 1088648 1287140 1360810 1415854 1648280 1813108 2266385 2574280 2721620 2831708 3539635 3626216 4532770 5443240 5663416 5727773 7079270 9065540 11455546 14158540 18131080 22911092 28317080 28638865 45822184 57277730 63005503 114555460 126011006 229110920 252022012 315027515 504044024 630055030 1260110060 2520220120