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1040445120 = 263511213253
BaseRepresentation
bin111110000000111…
…110111011000000
32200111210002101110
4332000332323000
54112323220440
6251124203320
734532431461
oct7600767300
92614702343
101040445120
11494338900
12250539540
1313772b500
149c278d68
1561520080
hex3e03eec0

1040445120 has 504 divisors, whose sum is σ = 4006004688. Its totient is φ = 228433920.

The previous prime is 1040445103. The next prime is 1040445121. The reversal of 1040445120 is 215440401.

It is a happy number.

1040445120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1040445121) 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, 19631014 + ... + 19631066.

It is an arithmetic number, because the mean of its divisors is an integer number (7948422).

Almost surely, 21040445120 is an apocalyptic number.

1040445120 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 1040445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003002344).

1040445120 is an abundant number, since it is smaller than the sum of its proper divisors (2965559568).

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

1040445120 is a wasteful number, since it uses less digits than its factorization.

1040445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1040445120 is about 32255.9315475464. The cubic root of 1040445120 is about 1013.3039272784.

Adding to 1040445120 its reverse (215440401), we get a palindrome (1255885521).

The spelling of 1040445120 in words is "one billion, forty million, four hundred forty-five thousand, one hundred twenty".