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2571366140 = 2257219197701
BaseRepresentation
bin1001100101000011…
…1110111011111100
320122012110221012222
42121100332323330
520231232204030
61103053144512
7120502152200
oct23120767374
96565427188
102571366140
1110aa518492
125b918b138
1331c958a35
141a570ab00
15100b263e5
hex9943eefc

2571366140 has 144 divisors (see below), whose sum is σ = 6655128480. Its totient is φ = 829785600.

The previous prime is 2571366137. The next prime is 2571366157. The reversal of 2571366140 is 416631752.

It is a super-2 number, since 2×25713661402 = 13223847651876999200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2571366140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3667790 + ... + 3668490.

It is an arithmetic number, because the mean of its divisors is an integer number (46216170).

Almost surely, 22571366140 is an apocalyptic number.

2571366140 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 2571366140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327564240).

2571366140 is an abundant number, since it is smaller than the sum of its proper divisors (4083762340).

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

2571366140 is a wasteful number, since it uses less digits than its factorization.

2571366140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2571366140 is about 50708.6396977872. The cubic root of 2571366140 is about 1370.0023336313.

Adding to 2571366140 its reverse (416631752), we get a palindrome (2987997892).

The spelling of 2571366140 in words is "two billion, five hundred seventy-one million, three hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 197 245 266 380 394 490 532 665 701 788 931 980 985 1330 1379 1402 1862 1970 2660 2758 2804 3505 3724 3743 3940 4655 4907 5516 6895 7010 7486 9310 9653 9814 13319 13790 14020 14972 18620 18715 19306 19628 24535 26201 26638 27580 34349 37430 38612 48265 49070 52402 53276 66595 68698 74860 93233 96530 98140 104804 131005 133190 137396 138097 171745 183407 186466 193060 262010 266380 276194 343490 366814 372932 466165 524020 552388 652631 686980 690485 733628 917035 932330 966679 1305262 1380970 1834070 1864660 1933358 2610524 2623843 2761940 3263155 3668140 3866716 4833395 5247686 6526310 6766753 9666790 10495372 13052620 13119215 13533506 18366901 19333580 26238430 27067012 33833765 36733802 52476860 67667530 73467604 91834505 128568307 135335060 183669010 257136614 367338020 514273228 642841535 1285683070 2571366140