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2520120260 = 225747449853
BaseRepresentation
bin1001011000110101…
…1111101111000100
320111122001101002102
42112031133233010
520130122322020
61054022531232
7116310445250
oct22615375704
96448041072
102520120260
1110835a6719
125a3b96b18
13312155528
1419c9ab260
15eb3a2475
hex9635fbc4

2520120260 has 96 divisors (see below), whose sum is σ = 6197990400. Its totient is φ = 842784768.

The previous prime is 2520120257. The next prime is 2520120269. The reversal of 2520120260 is 620210252.

It is a super-2 number, since 2×25201202602 = 12702012249724935200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2520120269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953994 + ... + 2954846.

It is an arithmetic number, because the mean of its divisors is an integer number (64562400).

Almost surely, 22520120260 is an apocalyptic number.

2520120260 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 2520120260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098995200).

2520120260 is an abundant number, since it is smaller than the sum of its proper divisors (3677870140).

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

2520120260 is a wasteful number, since it uses less digits than its factorization.

2520120260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2520120260 is about 50200.7993960256. The cubic root of 2520120260 is about 1360.8400699394.

The spelling of 2520120260 in words is "two billion, five hundred twenty million, one hundred twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 449 470 658 853 898 940 1316 1645 1706 1796 2245 3143 3290 3412 4265 4490 5971 6286 6580 8530 8980 11942 12572 15715 17060 21103 23884 29855 31430 40091 42206 59710 62860 80182 84412 105515 119420 147721 160364 200455 211030 280637 295442 382997 400910 422060 561274 590884 738605 765994 801820 1122548 1403185 1477210 1531988 1914985 2680979 2806370 2954420 3829970 5361958 5612740 7659940 10723916 13404895 18000859 26809790 36001718 53619580 72003436 90004295 126006013 180008590 252012026 360017180 504024052 630030065 1260060130 2520120260