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1290126253 = 13937105913
BaseRepresentation
bin100110011100101…
…1100001110101101
310022220121012111211
41030321130032231
510120233020003
6332003514421
743653615013
oct11471341655
93286535454
101290126253
11602273a49
12300088a11
1317738ba20
14c34b08b3
15783de96d
hex4ce5c3ad

1290126253 has 8 divisors (see below), whose sum is σ = 1390862648. Its totient is φ = 1189603584.

The previous prime is 1290126241. The next prime is 1290126263. The reversal of 1290126253 is 3526210921.

It can be written as a sum of positive squares in 4 ways, for example, as 813604 + 1289312649 = 902^2 + 35907^2 .

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

It is not a de Polignac number, because 1290126253 - 29 = 1290125741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290126263) 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 7 ways as a sum of consecutive naturals, for example, 40776 + ... + 65137.

It is an arithmetic number, because the mean of its divisors is an integer number (173857831).

Almost surely, 21290126253 is an apocalyptic number.

1290126253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1290126253 is a deficient number, since it is larger than the sum of its proper divisors (100736395).

1290126253 is a wasteful number, since it uses less digits than its factorization.

1290126253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106863.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1290126253 is about 35918.3275362314. The cubic root of 1290126253 is about 1088.6227458355.

The spelling of 1290126253 in words is "one billion, two hundred ninety million, one hundred twenty-six thousand, two hundred fifty-three".

Divisors: 1 13 937 12181 105913 1376869 99240481 1290126253