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2543365240 = 2351317319281
BaseRepresentation
bin1001011110011000…
…1010110001111000
320120020210100012121
42113212022301320
520202100141430
61100213051024
7120012151003
oct22746126170
96506710177
102543365240
111095732a49
125ab926a74
13316c03960
141a1adc53a
15ed444a7a
hex9798ac78

2543365240 has 128 divisors (see below), whose sum is σ = 6736504320. Its totient is φ = 855244800.

The previous prime is 2543365229. The next prime is 2543365249. The reversal of 2543365240 is 425633452.

2543365240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2543365196 and 2543365205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543365249) 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, 269400 + ... + 278680.

It is an arithmetic number, because the mean of its divisors is an integer number (52628940).

Almost surely, 22543365240 is an apocalyptic number.

2543365240 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 2543365240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368252160).

2543365240 is an abundant number, since it is smaller than the sum of its proper divisors (4193139080).

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

2543365240 is a wasteful number, since it uses less digits than its factorization.

2543365240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 2543365240 is about 50431.7879913056. The cubic root of 2543365240 is about 1365.0112912607.

Adding to 2543365240 its reverse (425633452), we get a palindrome (2968998692).

The spelling of 2543365240 in words is "two billion, five hundred forty-three million, three hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 31 34 40 52 62 65 68 85 104 124 130 136 155 170 221 248 260 310 340 403 442 520 527 620 680 806 884 1054 1105 1240 1612 1768 2015 2108 2210 2635 3224 4030 4216 4420 5270 6851 8060 8840 9281 10540 13702 16120 18562 21080 27404 34255 37124 46405 54808 68510 74248 92810 120653 137020 157777 185620 241306 274040 287711 315554 371240 482612 575422 603265 631108 788885 965224 1150844 1206530 1262216 1438555 1577770 2051101 2301688 2413060 2877110 3155540 3740243 4102202 4826120 4891087 5754220 6311080 7480486 8204404 9782174 10255505 11508440 14960972 16408808 18701215 19564348 20511010 24455435 29921944 37402430 39128696 41022020 48910870 63584131 74804860 82044040 97821740 127168262 149609720 195643480 254336524 317920655 508673048 635841310 1271682620 2543365240