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1353120054 = 2311133150873
BaseRepresentation
bin101000010100110…
…1111100100110110
310111022010121202120
41100221233210312
510232344320204
6342134020410
745350221266
oct12051574466
93438117676
101353120054
1163488a140
123191a7706
13187446570
14cb9cb7a6
157dbd46d9
hex50a6f936

1353120054 has 64 divisors (see below), whose sum is σ = 3281983488. Its totient is φ = 366278400.

The previous prime is 1353120047. The next prime is 1353120071. The reversal of 1353120054 is 4500213531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162 + ... + 52034.

It is an arithmetic number, because the mean of its divisors is an integer number (51280992).

Almost surely, 21353120054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353120054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640991744).

1353120054 is an abundant number, since it is smaller than the sum of its proper divisors (1928863434).

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

1353120054 is a wasteful number, since it uses less digits than its factorization.

1353120054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50933.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1353120054 is about 36784.7801950752. The cubic root of 1353120054 is about 1106.0602298502.

Adding to 1353120054 its reverse (4500213531), we get a palindrome (5853333585).

The spelling of 1353120054 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, fifty-four".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 1023 1209 2046 2418 4433 8866 13299 26598 50873 101746 152619 305238 559603 661349 1119206 1322698 1577063 1678809 1984047 3154126 3357618 3968094 4731189 7274839 9462378 14549678 17347693 20501819 21824517 34695386 41003638 43649034 52043079 61505457 104086158 123010914 225520009 451040018 676560027 1353120054