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1040818240 = 26571153797
BaseRepresentation
bin111110000010011…
…010000001000000
32200112111001012201
4332002122001000
54112422140430
6251140202544
734535544340
oct7602320100
92615431181
101040818240
11494573170
12250699454
1313782c2a7
149c334d20
15615958ca
hex3e09a040

1040818240 has 224 divisors, whose sum is σ = 3152265984. Its totient is φ = 317890560.

The previous prime is 1040818201. The next prime is 1040818277. The reversal of 1040818240 is 428180401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1040818199 and 1040818208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305522 + ... + 1306318.

It is an arithmetic number, because the mean of its divisors is an integer number (14072616).

Almost surely, 21040818240 is an apocalyptic number.

1040818240 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 1040818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576132992).

1040818240 is an abundant number, since it is smaller than the sum of its proper divisors (2111447744).

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

1040818240 is a wasteful number, since it uses less digits than its factorization.

1040818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 1040818240 is about 32261.7147715369. The cubic root of 1040818240 is about 1013.4250417154.

Adding to 1040818240 its reverse (428180401), we get a palindrome (1468998641).

The spelling of 1040818240 in words is "one billion, forty million, eight hundred eighteen thousand, two hundred forty".