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1105867680 = 253517592297
BaseRepresentation
bin100000111101010…
…0011001110100000
32212001212220021020
41001322203032200
54231100231210
6301422325440
736255502011
oct10172431640
92761786236
101105867680
11518262835
1226a429880
13148156698
14a6c29008
1567144770
hex41ea33a0

1105867680 has 192 divisors, whose sum is σ = 3752542080. Its totient is φ = 272728064.

The previous prime is 1105867673. The next prime is 1105867723. The reversal of 1105867680 is 867685011.

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 31 ways as a sum of consecutive naturals, for example, 480292 + ... + 482588.

It is an arithmetic number, because the mean of its divisors is an integer number (19544490).

Almost surely, 21105867680 is an apocalyptic number.

1105867680 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 1105867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876271040).

1105867680 is an abundant number, since it is smaller than the sum of its proper divisors (2646674400).

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

1105867680 is a wasteful number, since it uses less digits than its factorization.

1105867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1105867680 is about 33254.5888562767. The cubic root of 1105867680 is about 1034.1123430844.

The spelling of 1105867680 in words is "one billion, one hundred five million, eight hundred sixty-seven thousand, six hundred eighty".