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1106410032 = 2432713233671
BaseRepresentation
bin100000111110010…
…0111101000110000
32212002220110020100
41001330213220300
54231220110112
6301442112400
736263221140
oct10174475060
92762813210
101106410032
115185a3262
1226a64b700
131482b64c0
14a6d2a920
15672002dc
hex41f27a30

1106410032 has 240 divisors, whose sum is σ = 3977745408. Its totient is φ = 279037440.

The previous prime is 1106410027. The next prime is 1106410043. The reversal of 1106410032 is 2300146011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1106409987 and 1106410014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299557 + ... + 303227.

Almost surely, 21106410032 is an apocalyptic number.

1106410032 is a gapful number since it is divisible by the number (12) 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 1106410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988872704).

1106410032 is an abundant number, since it is smaller than the sum of its proper divisors (2871335376).

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

1106410032 is a wasteful number, since it uses less digits than its factorization.

1106410032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1106410032 is about 33262.7424004696. The cubic root of 1106410032 is about 1034.2813691039.

Adding to 1106410032 its reverse (2300146011), we get a palindrome (3406556043).

The spelling of 1106410032 in words is "one billion, one hundred six million, four hundred ten thousand, thirty-two".