Search a number
-
+
1106359320 = 23351117471049
BaseRepresentation
bin100000111110001…
…1011010000011000
32212002210212200010
41001330123100120
54231211444240
6301441041520
736262620243
oct10174332030
92762725603
101106359320
11518569150
1226a6262a0
131482993b1
14a6d1625a
15671e0280
hex41f1b418

1106359320 has 256 divisors, whose sum is σ = 3919104000. Its totient is φ = 246824960.

The previous prime is 1106359313. The next prime is 1106359339. The reversal of 1106359320 is 239536011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1054156 + ... + 1055204.

It is an arithmetic number, because the mean of its divisors is an integer number (15309000).

Almost surely, 21106359320 is an apocalyptic number.

1106359320 is a gapful number since it is divisible by the number (10) 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 1106359320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959552000).

1106359320 is an abundant number, since it is smaller than the sum of its proper divisors (2812744680).

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

1106359320 is a wasteful number, since it uses less digits than its factorization.

1106359320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1106359320 is about 33261.9800974025. The cubic root of 1106359320 is about 1034.2655668616.

The spelling of 1106359320 in words is "one billion, one hundred six million, three hundred fifty-nine thousand, three hundred twenty".