Search a number
-
+
1353120249 = 313179239811
BaseRepresentation
bin101000010100110…
…1111100111111001
310111022010122000210
41100221233213321
510232344321444
6342134021333
745350221665
oct12051574771
93438118023
101353120249
1163488a2a8
123191a7849
13187446690
14cb9cb8a5
157dbd47b9
hex50a6f9f9

1353120249 has 32 divisors (see below), whose sum is σ = 1964390400. Its totient is φ = 823556160.

The previous prime is 1353120227. The next prime is 1353120257. The reversal of 1353120249 is 9420213531.

It is not a de Polignac number, because 1353120249 - 216 = 1353054713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1353120269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668054 + ... + 1668864.

It is an arithmetic number, because the mean of its divisors is an integer number (61387200).

Almost surely, 21353120249 is an apocalyptic number.

It is an amenable number.

1353120249 is a deficient number, since it is larger than the sum of its proper divisors (611270151).

1353120249 is a wasteful number, since it uses less digits than its factorization.

1353120249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1353120249 is about 36784.7828456279. The cubic root of 1353120249 is about 1106.0602829822.

The spelling of 1353120249 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred forty-nine".

Divisors: 1 3 13 39 179 239 537 717 811 2327 2433 3107 6981 9321 10543 31629 42781 128343 145169 193829 435507 556153 581487 1668459 1887197 2519777 5661591 7559331 34695391 104086173 451040083 1353120249