Search a number
-
+
1095423264 = 253413192959
BaseRepresentation
bin100000101001010…
…1101010100100000
32211100020021020000
41001102231110200
54220412021024
6300410420000
736100641555
oct10122552440
92740207200
101095423264
11512379791
12266a31600
13145c3a760
14a56aaa2c
156627ecc9
hex414ad520

1095423264 has 480 divisors, whose sum is σ = 3841992000. Its totient is φ = 303077376.

The previous prime is 1095423253. The next prime is 1095423317. The reversal of 1095423264 is 4623245901.

It is a happy number.

1095423264 is a `hidden beast` number, since 109 + 542 + 3 + 2 + 6 + 4 = 666.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 18566467 + ... + 18566525.

It is an arithmetic number, because the mean of its divisors is an integer number (8004150).

Almost surely, 21095423264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920996000).

1095423264 is an abundant number, since it is smaller than the sum of its proper divisors (2746568736).

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

1095423264 is a wasteful number, since it uses less digits than its factorization.

1095423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1095423264 is about 33097.1790942974. The cubic root of 1095423264 is about 1030.8464666449.

The spelling of 1095423264 in words is "one billion, ninety-five million, four hundred twenty-three thousand, two hundred sixty-four".