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1084669040 = 245713273157
BaseRepresentation
bin100000010100110…
…1011110001110000
32210120222220012102
41000221223301300
54210133402130
6255344115532
735610351260
oct10051536160
92716886172
101084669040
115072a39a4
12263305ba8
13143943800
14a40ab7a0
1565358645
hex40a6bc70

1084669040 has 240 divisors, whose sum is σ = 3183778368. Its totient is φ = 336420864.

The previous prime is 1084668989. The next prime is 1084669043. The reversal of 1084669040 is 409664801.

1084669040 is nontrivially palindromic in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 1084668985 and 1084669003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084669043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6908642 + ... + 6908798.

Almost surely, 21084669040 is an apocalyptic number.

1084669040 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 1084669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591889184).

1084669040 is an abundant number, since it is smaller than the sum of its proper divisors (2099109328).

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

1084669040 is a wasteful number, since it uses less digits than its factorization.

1084669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1084669040 is about 32934.3140204863. The cubic root of 1084669040 is about 1027.4619510225.

The spelling of 1084669040 in words is "one billion, eighty-four million, six hundred sixty-nine thousand, forty".