Search a number
-
+
1353206137 = 17181439781
BaseRepresentation
bin101000010101000…
…0100100101111001
310111022021222211211
41100222010211321
510232410044022
6342135523121
745351030253
oct12052044571
93438258754
101353206137
11634938888
123192294a1
131874767ba
14cba10cd3
157dbeee77
hex50a84979

1353206137 has 8 divisors (see below), whose sum is σ = 1440725832. Its totient is φ = 1266566400.

The previous prime is 1353206117. The next prime is 1353206161. The reversal of 1353206137 is 7316023531.

It can be written as a sum of positive squares in 4 ways, for example, as 145226601 + 1207979536 = 12051^2 + 34756^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1353206137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1353206099 and 1353206108.

It is not an unprimeable number, because it can be changed into a prime (1353206117) 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, 216814 + ... + 222967.

It is an arithmetic number, because the mean of its divisors is an integer number (180090729).

Almost surely, 21353206137 is an apocalyptic number.

1353206137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1353206137 is a deficient number, since it is larger than the sum of its proper divisors (87519695).

1353206137 is a wasteful number, since it uses less digits than its factorization.

1353206137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439979.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 1353206137 is about 36785.9502663721. The cubic root of 1353206137 is about 1106.0836845229.

Adding to 1353206137 its reverse (7316023531), we get a palindrome (8669229668).

The spelling of 1353206137 in words is "one billion, three hundred fifty-three million, two hundred six thousand, one hundred thirty-seven".

Divisors: 1 17 181 3077 439781 7476277 79600361 1353206137