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1106432256 = 2833594013
BaseRepresentation
bin100000111110010…
…1101000100000000
32212002221120201110
41001330231010000
54231221313011
6301442403320
736263343006
oct10174550400
92762846643
101106432256
11518608a26
1226a660540
131482c3657
14a6d34a76
1567206ba6
hex41f2d100

1106432256 has 72 divisors (see below), whose sum is σ = 2953661760. Its totient is φ = 367691776.

The previous prime is 1106432237. The next prime is 1106432291. The reversal of 1106432256 is 6522346011.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 273706 + ... + 277718.

It is an arithmetic number, because the mean of its divisors is an integer number (41023080).

Almost surely, 21106432256 is an apocalyptic number.

1106432256 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 1106432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476830880).

1106432256 is an abundant number, since it is smaller than the sum of its proper divisors (1847229504).

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

1106432256 is an equidigital number, since it uses as much as digits as its factorization.

1106432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1106432256 is about 33263.0764662561. The cubic root of 1106432256 is about 1034.2882941180.

Adding to 1106432256 its reverse (6522346011), we get a palindrome (7628778267).

The spelling of 1106432256 in words is "one billion, one hundred six million, four hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 359 384 718 768 1077 1436 2154 2872 4013 4308 5744 8026 8616 11488 12039 16052 17232 22976 24078 32104 34464 45952 48156 64208 68928 91904 96312 128416 137856 192624 256832 275712 385248 513664 770496 1027328 1440667 1540992 2881334 3081984 4322001 5762668 8644002 11525336 17288004 23050672 34576008 46101344 69152016 92202688 138304032 184405376 276608064 368810752 553216128 1106432256