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1040245440 = 2635131941107
BaseRepresentation
bin111110000000001…
…110001011000000
32200111101221110220
4332000032023000
54112300323230
6251120023040
734530640353
oct7600161300
92614357426
101040245440
11494211883
12250461a80
1313768b660
149c22629a
15614d0d10
hex3e00e2c0

1040245440 has 448 divisors, whose sum is σ = 3871203840. Its totient is φ = 234455040.

The previous prime is 1040245429. The next prime is 1040245441. The reversal of 1040245440 is 445420401.

It is a happy number.

It is a super-2 number, since 2×10402454402 = 2164221150881587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1040245440.

It is not an unprimeable number, because it can be changed into a prime (1040245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9721867 + ... + 9721973.

It is an arithmetic number, because the mean of its divisors is an integer number (8641080).

Almost surely, 21040245440 is an apocalyptic number.

1040245440 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 1040245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935601920).

1040245440 is an abundant number, since it is smaller than the sum of its proper divisors (2830958400).

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

1040245440 is a wasteful number, since it uses less digits than its factorization.

1040245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1040245440 is about 32252.8361543601. The cubic root of 1040245440 is about 1013.2390994242.

Adding to 1040245440 its reverse (445420401), we get a palindrome (1485665841).

The spelling of 1040245440 in words is "one billion, forty million, two hundred forty-five thousand, four hundred forty".