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1105453440 = 273357131937
BaseRepresentation
bin100000111100011…
…1110000110000000
32212001002212001000
41001320332012000
54230444002230
6301405412000
736252125220
oct10170760600
92761085030
101105453440
11517aaa593
1226a26a000
1314803cc80
14a6b5c080
15670b1b60
hex41e3e180

1105453440 has 1024 divisors, whose sum is σ = 5209344000. Its totient is φ = 214990848.

The previous prime is 1105453423. The next prime is 1105453451. The reversal of 1105453440 is 443545011.

It is a happy number.

1105453440 is a `hidden beast` number, since 110 + 545 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29877102 + ... + 29877138.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 21105453440 is an apocalyptic number.

1105453440 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 1105453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604672000).

1105453440 is an abundant number, since it is smaller than the sum of its proper divisors (4103890560).

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

1105453440 is a wasteful number, since it uses less digits than its factorization.

1105453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1105453440 is about 33248.3599595529. The cubic root of 1105453440 is about 1033.9832064186.

Adding to 1105453440 its reverse (443545011), we get a palindrome (1548998451).

The spelling of 1105453440 in words is "one billion, one hundred five million, four hundred fifty-three thousand, four hundred forty".