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1306120968 = 233218140569
BaseRepresentation
bin100110111011001…
…1101001100001000
310101000200211010200
41031312131030020
510133331332333
6333334412200
744236562565
oct11566351410
93330624120
101306120968
116102a9019
12305501060
1317a79c059
14c567586c
15799edc13
hex4dd9d308

1306120968 has 24 divisors (see below), whose sum is σ = 3537411150. Its totient is φ = 435373632.

The previous prime is 1306120957. The next prime is 1306120973. The reversal of 1306120968 is 8690216031.

1306120968 is a `hidden beast` number, since 1 + 30 + 612 + 0 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 922822884 + 383298084 = 30378^2 + 19578^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9070213 + ... + 9070356.

Almost surely, 21306120968 is an apocalyptic number.

1306120968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1306120968 is an abundant number, since it is smaller than the sum of its proper divisors (2231290182).

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

1306120968 is a wasteful number, since it uses less digits than its factorization.

1306120968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18140581 (or 18140574 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1306120968 is about 36140.2956269038. The cubic root of 1306120968 is about 1093.1031198650.

Adding to 1306120968 its reverse (8690216031), we get a palindrome (9996336999).

The spelling of 1306120968 in words is "one billion, three hundred six million, one hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18140569 36281138 54421707 72562276 108843414 145124552 163265121 217686828 326530242 435373656 653060484 1306120968