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1540343025 = 325213618997
BaseRepresentation
bin101101111001111…
…1100010011110001
310222100102112101200
41123303330103301
511123311434100
6412502521413
753112461664
oct13363742361
93870375350
101540343025
11720535571
1236ba36269
131b7178ca0
141088056db
1590367e00
hex5bcfc4f1

1540343025 has 144 divisors (see below), whose sum is σ = 3085271280. Its totient is φ = 729907200.

The previous prime is 1540343023. The next prime is 1540343039. The reversal of 1540343025 is 5203430451.

It can be written as a sum of positive squares in 24 ways, for example, as 1537188849 + 3154176 = 39207^2 + 1776^2 .

It is not a de Polignac number, because 1540343025 - 21 = 1540343023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1540343025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540343023) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 15879777 + ... + 15879873.

It is an arithmetic number, because the mean of its divisors is an integer number (21425495).

Almost surely, 21540343025 is an apocalyptic number.

1540343025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1540343025 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1540343025 is a wasteful number, since it uses less digits than its factorization.

1540343025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1540343025 is about 39247.2040405428. The cubic root of 1540343025 is about 1154.8860853527.

Adding to 1540343025 its reverse (5203430451), we get a palindrome (6743773476).

The spelling of 1540343025 in words is "one billion, five hundred forty million, three hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 61 65 75 89 97 117 183 195 225 267 291 305 325 445 485 549 585 793 801 873 915 975 1157 1261 1335 1455 1525 2225 2379 2425 2745 2925 3471 3783 3965 4005 4365 4575 5429 5785 5917 6305 6675 7137 7275 8633 10413 11349 11895 13725 16287 17355 17751 18915 19825 20025 21825 25899 27145 28925 29585 31525 35685 43165 48861 52065 53253 56745 59475 70577 76921 77697 81435 86775 88755 94575 112229 129495 135725 147925 178425 211731 215825 230763 244305 260325 266265 283725 336687 352885 384605 388485 407175 443775 526613 561145 635193 647475 692289 1010061 1058655 1153815 1221525 1331325 1579839 1683435 1764425 1923025 1942425 2633065 2805725 3175965 3461445 4739517 5050305 5293275 5769075 6845969 7899195 8417175 13165325 15879825 17307225 20537907 23697585 25251525 34229845 39495975 61613721 102689535 118487925 171149225 308068605 513447675 1540343025