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1005140241 = 3271812487
BaseRepresentation
bin111011111010010…
…011100100010001
32121001100102012100
4323322103210101
54024303441431
6243423351013
733623360010
oct7372234421
92531312170
101005140241
11476414816
12240752469
13130319a51
14976c8a77
155d3994e6
hex3be93911

1005140241 has 36 divisors (see below), whose sum is σ = 1671923136. Its totient is φ = 570019680.

The previous prime is 1005140239. The next prime is 1005140243. The reversal of 1005140241 is 1420415001.

It is an interprime number because it is at equal distance from previous prime (1005140239) and next prime (1005140243).

It is not a de Polignac number, because 1005140241 - 21 = 1005140239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005140243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2063700 + ... + 2064186.

Almost surely, 21005140241 is an apocalyptic number.

It is an amenable number.

1005140241 is a deficient number, since it is larger than the sum of its proper divisors (666782895).

1005140241 is an equidigital number, since it uses as much as digits as its factorization.

1005140241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1005140241 is about 31703.9467732331. The cubic root of 1005140241 is about 1001.7104862353.

Adding to 1005140241 its reverse (1420415001), we get a palindrome (2425555242).

It can be divided in two parts, 1005 and 140241, that added together give a triangular number (141246 = T531).

The spelling of 1005140241 in words is "one billion, five million, one hundred forty thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 181 487 543 1267 1461 1629 3409 3801 4383 10227 11403 30681 32761 88147 98283 229327 264441 294849 617029 687981 793323 1851087 2063943 5553261 15954607 47863821 111682249 143591463 335046747 1005140241