Search a number
-
+
1351054240 = 25527131159
BaseRepresentation
bin101000010000111…
…0111001110100000
310111011020122222221
41100201313032200
510231332213430
6342021440424
745323525434
oct12041671640
93434218887
101351054240
116336a9058
12318570114
13186ba21a3
14cb6109c4
157d92757a
hex508773a0

1351054240 has 48 divisors (see below), whose sum is σ = 3203746560. Its totient is φ = 538410240.

The previous prime is 1351054207. The next prime is 1351054249. The reversal of 1351054240 is 424501531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1351054249) 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, 27781 + ... + 58939.

It is an arithmetic number, because the mean of its divisors is an integer number (66744720).

Almost surely, 21351054240 is an apocalyptic number.

1351054240 is a gapful number since it is divisible by the number (10) 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 1351054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601873280).

1351054240 is an abundant number, since it is smaller than the sum of its proper divisors (1852692320).

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

1351054240 is a wasteful number, since it uses less digits than its factorization.

1351054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31445 (or 31437 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1351054240 is about 36756.6897312584. The cubic root of 1351054240 is about 1105.4970675784.

Adding to 1351054240 its reverse (424501531), we get a palindrome (1775555771).

The spelling of 1351054240 in words is "one billion, three hundred fifty-one million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 8672 10840 21680 31159 43360 62318 124636 155795 249272 311590 498544 623180 997088 1246360 2492720 4985440 8444089 16888178 33776356 42220445 67552712 84440890 135105424 168881780 270210848 337763560 675527120 1351054240