Search a number
-
+
1363043136 = 263713217353
BaseRepresentation
bin101000100111110…
…0110001101000000
310111222210202200010
41101033212031000
510242414340021
6343130424520
745530450460
oct12117461500
93458722603
101363043136
1163a447534
12320592140
1318950c100
14cd051ba0
157e9e4976
hex513e6340

1363043136 has 336 divisors, whose sum is σ = 4738932864. Its totient is φ = 337379328.

The previous prime is 1363043131. The next prime is 1363043141. The reversal of 1363043136 is 6313403631.

It is an interprime number because it is at equal distance from previous prime (1363043131) and next prime (1363043141).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363043131) 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 47 ways as a sum of consecutive naturals, for example, 3861136 + ... + 3861488.

Almost surely, 21363043136 is an apocalyptic number.

1363043136 is a gapful number since it is divisible by the number (16) 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 1363043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369466432).

1363043136 is an abundant number, since it is smaller than the sum of its proper divisors (3375889728).

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

1363043136 is a wasteful number, since it uses less digits than its factorization.

1363043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 1363043136 is about 36919.4140798578. The cubic root of 1363043136 is about 1108.7574050423.

Adding to 1363043136 its reverse (6313403631), we get a palindrome (7676446767).

The spelling of 1363043136 in words is "one billion, three hundred sixty-three million, forty-three thousand, one hundred thirty-six".