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1313154432 = 27324779307
BaseRepresentation
bin100111001000101…
…0010010110000000
310101111221011020100
41032101102112000
510142131420212
6334145242400
744353425402
oct11621222600
93344834210
101313154432
116142723a7
12307933400
1317c092575
14c6586b72
157a43cbdc
hex4e452580

1313154432 has 192 divisors, whose sum is σ = 3920716800. Its totient is φ = 421604352.

The previous prime is 1313154413. The next prime is 1313154439. The reversal of 1313154432 is 2344513131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1313154396 and 1313154405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313154439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4277223 + ... + 4277529.

It is an arithmetic number, because the mean of its divisors is an integer number (20420400).

Almost surely, 21313154432 is an apocalyptic number.

1313154432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960358400).

1313154432 is an abundant number, since it is smaller than the sum of its proper divisors (2607562368).

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

1313154432 is a wasteful number, since it uses less digits than its factorization.

1313154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1313154432 is about 36237.4727595620. The cubic root of 1313154432 is about 1095.0617291778.

Adding to 1313154432 its reverse (2344513131), we get a palindrome (3657667563).

The spelling of 1313154432 in words is "one billion, three hundred thirteen million, one hundred fifty-four thousand, four hundred thirty-two".