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1040381100 = 22325211195531
BaseRepresentation
bin111110000000101…
…111010010101100
32200111122211120100
4332000233102230
54112314143400
6251122551100
734532044023
oct7600572254
92614584510
101040381100
114942a47a0
12250508490
13137708325
149c25d8ba
156150b100
hex3e02f4ac

1040381100 has 216 divisors, whose sum is σ = 3745385280. Its totient is φ = 238896000.

The previous prime is 1040381077. The next prime is 1040381107. The reversal of 1040381100 is 11830401.

1040381100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1040381107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185335 + ... + 190865.

Almost surely, 21040381100 is an apocalyptic number.

1040381100 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 1040381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872692640).

1040381100 is an abundant number, since it is smaller than the sum of its proper divisors (2705004180).

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

1040381100 is a wasteful number, since it uses less digits than its factorization.

1040381100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1040381100 is about 32254.9391566625. The cubic root of 1040381100 is about 1013.2831435303.

The spelling of 1040381100 in words is "one billion, forty million, three hundred eighty-one thousand, one hundred".