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1361183040 = 263257251269
BaseRepresentation
bin101000100100010…
…0000000101000000
310111212022021002200
41101020200011000
510241430324130
6343022513200
745505602450
oct12110400500
93455267080
101361183040
11639396a68
1231ba35800
1318900a569
14ccac9d60
157e778760
hex51220140

1361183040 has 336 divisors, whose sum is σ = 5392033920. Its totient is φ = 308736000.

The previous prime is 1361183003. The next prime is 1361183069. The reversal of 1361183040 is 403811631.

1361183040 is a `hidden beast` number, since 1 + 3 + 611 + 8 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 1361182995 and 1361183013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5060026 + ... + 5060294.

It is an arithmetic number, because the mean of its divisors is an integer number (16047720).

Almost surely, 21361183040 is an apocalyptic number.

1361183040 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 1361183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696016960).

1361183040 is an abundant number, since it is smaller than the sum of its proper divisors (4030850880).

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

1361183040 is a wasteful number, since it uses less digits than its factorization.

1361183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1361183040 is about 36894.2141805460. The cubic root of 1361183040 is about 1108.2528149746.

Adding to 1361183040 its reverse (403811631), we get a palindrome (1764994671).

The spelling of 1361183040 in words is "one billion, three hundred sixty-one million, one hundred eighty-three thousand, forty".