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1290418241 = 71241314851
BaseRepresentation
bin100110011101010…
…0011100001000001
310022221011001001012
41030322203201001
510120321340431
6332014050305
743656242210
oct11472434101
93287131035
101290418241
11602453362
123001a9995
131774618b8
14c3549077
157844b22b
hex4cea3841

1290418241 has 8 divisors (see below), whose sum is σ = 1474981824. Its totient is φ = 1105909200.

The previous prime is 1290418219. The next prime is 1290418247. The reversal of 1290418241 is 1428140921.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1290418241 - 218 = 1290156097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1290418198 and 1290418207.

It is not an unprimeable number, because it can be changed into a prime (1290418247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79466 + ... + 94316.

It is an arithmetic number, because the mean of its divisors is an integer number (184372728).

Almost surely, 21290418241 is an apocalyptic number.

It is an amenable number.

1290418241 is a deficient number, since it is larger than the sum of its proper divisors (184563583).

1290418241 is a wasteful number, since it uses less digits than its factorization.

1290418241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27271.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1290418241 is about 35922.3919164635. The cubic root of 1290418241 is about 1088.7048672042.

The spelling of 1290418241 in words is "one billion, two hundred ninety million, four hundred eighteen thousand, two hundred forty-one".

Divisors: 1 7 12413 14851 86891 103957 184345463 1290418241