Search a number
-
+
1109107296 = 25331121032
BaseRepresentation
bin100001000011011…
…1010001001100000
32212021222111012000
41002012322021200
54232412413141
6302020004000
736325153653
oct10206721140
92767874160
101109107296
1151a075800
1226b530600
13148a1c10b
14a742d89a
15675845b6
hex421ba260

1109107296 has 216 divisors, whose sum is σ = 3590569080. Its totient is φ = 332830080.

The previous prime is 1109107267. The next prime is 1109107297. The reversal of 1109107296 is 6927019011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1109107296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109107297) 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 35 ways as a sum of consecutive naturals, for example, 10767981 + ... + 10768083.

It is an arithmetic number, because the mean of its divisors is an integer number (16623005).

Almost surely, 21109107296 is an apocalyptic number.

1109107296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795284540).

1109107296 is an abundant number, since it is smaller than the sum of its proper divisors (2481461784).

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

1109107296 is a wasteful number, since it uses less digits than its factorization.

1109107296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 1109107296 is about 33303.2625428801. The cubic root of 1109107296 is about 1035.1211620391.

The spelling of 1109107296 in words is "one billion, one hundred nine million, one hundred seven thousand, two hundred ninety-six".