Search a number
-
+
1260668133 = 321723893449
BaseRepresentation
bin100101100100100…
…0100010011100101
310020212011120120100
41023021010103211
510040212340013
6325032254313
743145334204
oct11311042345
93225146510
101260668133
1159768369a
122b2241399
1317124659a
14bd60323b
1575a21473
hex4b2444e5

1260668133 has 24 divisors (see below), whose sum is σ = 1929447000. Its totient is φ = 790447104.

The previous prime is 1260668131. The next prime is 1260668141. The reversal of 1260668133 is 3318660621.

1260668133 is a `hidden beast` number, since 12 + 606 + 6 + 8 + 1 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1979649 + 1258688484 = 1407^2 + 35478^2 .

It is not a de Polignac number, because 1260668133 - 21 = 1260668131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260668131) 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 23 ways as a sum of consecutive naturals, for example, 363793 + ... + 367241.

It is an arithmetic number, because the mean of its divisors is an integer number (80393625).

Almost surely, 21260668133 is an apocalyptic number.

It is an amenable number.

1260668133 is a deficient number, since it is larger than the sum of its proper divisors (668778867).

1260668133 is a wasteful number, since it uses less digits than its factorization.

1260668133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1260668133 is about 35505.8887087762. Note that the first 3 decimals coincide. The cubic root of 1260668133 is about 1080.2731742105.

The spelling of 1260668133 in words is "one billion, two hundred sixty million, six hundred sixty-eight thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 153 2389 3449 7167 10347 21501 31041 40613 58633 121839 175899 365517 527697 8239661 24718983 74156949 140074237 420222711 1260668133