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2543971060 = 225297016257
BaseRepresentation
bin1001011110100001…
…1110101011110100
320120021221010020101
42113220132223310
520202224033220
61100234043444
7120020253151
oct22750365364
96507833211
102543971060
111096007124
125abb79584
13317086627
141a1c19228
15ed51430a
hex97a1eaf4

2543971060 has 48 divisors (see below), whose sum is σ = 5535326160. Its totient is φ = 980940800.

The previous prime is 2543971049. The next prime is 2543971063. The reversal of 2543971060 is 601793452.

It can be written as a sum of positive squares in 8 ways, for example, as 555167844 + 1988803216 = 23562^2 + 44596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543971063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403452 + ... + 409708.

It is an arithmetic number, because the mean of its divisors is an integer number (115319295).

Almost surely, 22543971060 is an apocalyptic number.

2543971060 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 2543971060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767663080).

2543971060 is an abundant number, since it is smaller than the sum of its proper divisors (2991355100).

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

2543971060 is a wasteful number, since it uses less digits than its factorization.

2543971060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 2543971060 is about 50437.7939644469. The cubic root of 2543971060 is about 1365.1196628357.

The spelling of 2543971060 in words is "two billion, five hundred forty-three million, nine hundred seventy-one thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 701 1402 2804 3505 6257 7010 12514 14020 20329 25028 31285 40658 62570 81316 101645 125140 181453 203290 362906 406580 725812 907265 1814530 3629060 4386157 8772314 17544628 21930785 43861570 87723140 127198553 254397106 508794212 635992765 1271985530 2543971060