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1305241014 = 237117393823
BaseRepresentation
bin100110111001100…
…0110010110110110
310100222001010001210
41031303012112312
510133120203024
6333303502250
744226236250
oct11563062666
93328033053
101305241014
1160a857990
12305157986
1317a55167c
14c54c6cd0
15798c8129
hex4dcc65b6

1305241014 has 64 divisors (see below), whose sum is σ = 3259883520. Its totient is φ = 338476320.

The previous prime is 1305241013. The next prime is 1305241031. The reversal of 1305241014 is 4101425031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305241013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339507 + ... + 343329.

It is an arithmetic number, because the mean of its divisors is an integer number (50935680).

Almost surely, 21305241014 is an apocalyptic number.

1305241014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305241014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629941760).

1305241014 is an abundant number, since it is smaller than the sum of its proper divisors (1954642506).

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

1305241014 is a wasteful number, since it uses less digits than its factorization.

1305241014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1305241014 is about 36128.1194362508. The cubic root of 1305241014 is about 1092.8575845284.

Adding to 1305241014 its reverse (4101425031), we get a palindrome (5406666045).

The spelling of 1305241014 in words is "one billion, three hundred five million, two hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 739 1478 2217 3823 4434 5173 7646 8129 10346 11469 15519 16258 22938 24387 26761 31038 42053 48774 53522 56903 80283 84106 113806 126159 160566 170709 252318 294371 341418 588742 883113 1766226 2825197 5650394 8475591 16951182 19776379 31077167 39552758 59329137 62154334 93231501 118658274 186463002 217540169 435080338 652620507 1305241014