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1042813440 = 2934547107
BaseRepresentation
bin111110001010000…
…001001000000000
32200200020102010000
4332022001020000
54113430012230
6251251040000
734561524264
oct7612011000
92620212100
101042813440
11495706199
122512a0000
1313807a496
149c6d40a4
156183bb60
hex3e281200

1042813440 has 400 divisors, whose sum is σ = 3850146432. Its totient is φ = 269623296.

The previous prime is 1042813417. The next prime is 1042813441. The reversal of 1042813440 is 443182401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1042813441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9745867 + ... + 9745973.

Almost surely, 21042813440 is an apocalyptic number.

1042813440 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 1042813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925073216).

1042813440 is an abundant number, since it is smaller than the sum of its proper divisors (2807332992).

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

1042813440 is an equidigital number, since it uses as much as digits as its factorization.

1042813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1042813440 is about 32292.6220675869. The cubic root of 1042813440 is about 1014.0721912119.

Adding to 1042813440 its reverse (443182401), we get a palindrome (1485995841).

The spelling of 1042813440 in words is "one billion, forty-two million, eight hundred thirteen thousand, four hundred forty".