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1363160241 = 323123972
BaseRepresentation
bin101000101000000…
…0010110010110001
310112000000201022100
41101100002302301
510242432111431
6343133131013
745531446052
oct12120026261
93460021270
101363160241
1163a517513
12320629a69
131895504c1
14cd082729
157ea194e6
hex51402cb1

1363160241 has 27 divisors (see below), whose sum is σ = 2039712363. Its totient is φ = 877242960.

The previous prime is 1363160219. The next prime is 1363160257. The reversal of 1363160241 is 1420613631.

The square root of 1363160241 is 36921.

It is a perfect power (a square), and thus also a powerful number.

1363160241 is a `hidden beast` number, since 1 + 3 + 631 + 6 + 0 + 24 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 913550625 + 449609616 = 30225^2 + 21204^2 .

It is not a de Polignac number, because 1363160241 - 29 = 1363159729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1363160041) 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 26 ways as a sum of consecutive naturals, for example, 3433455 + ... + 3433851.

Almost surely, 21363160241 is an apocalyptic number.

1363160241 is the 36921-st square number.

1363160241 is the 18461-st centered octagonal number.

It is an amenable number.

1363160241 is a deficient number, since it is larger than the sum of its proper divisors (676552122).

1363160241 is an frugal number, since it uses more digits than its factorization.

1363160241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 1363160241 is about 1108.7891568664.

Adding to 1363160241 its reverse (1420613631), we get a palindrome (2783773872).

It can be divided in two parts, 1363 and 160241, that added together give a square (161604 = 4022).

The spelling of 1363160241 in words is "one billion, three hundred sixty-three million, one hundred sixty thousand, two hundred forty-one".

Divisors: 1 3 9 31 93 279 397 961 1191 2883 3573 8649 12307 36921 110763 157609 381517 472827 1144551 1418481 3433653 4885879 14657637 43972911 151462249 454386747 1363160241