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1023003040 = 2556393769
BaseRepresentation
bin111100111110011…
…100100110100000
32122021221221100111
4330332130212200
54043342044130
6245302301104
734231245103
oct7476344640
92567857314
101023003040
11485505364
12246727794
13133c32457
1499c1873a
155ec2702a
hex3cf9c9a0

1023003040 has 24 divisors (see below), whose sum is σ = 2416845060. Its totient is φ = 409201152.

The previous prime is 1023002989. The next prime is 1023003053. The reversal of 1023003040 is 403003201.

It can be written as a sum of positive squares in 2 ways, for example, as 1021185936 + 1817104 = 31956^2 + 1348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1023003040.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3196725 + ... + 3197044.

Almost surely, 21023003040 is an apocalyptic number.

1023003040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023003040 is an abundant number, since it is smaller than the sum of its proper divisors (1393842020).

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

1023003040 is an equidigital number, since it uses as much as digits as its factorization.

1023003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393784 (or 6393776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1023003040 is about 31984.4187066140. The cubic root of 1023003040 is about 1007.6096266994.

Adding to 1023003040 its reverse (403003201), we get a palindrome (1426006241).

The spelling of 1023003040 in words is "one billion, twenty-three million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6393769 12787538 25575076 31968845 51150152 63937690 102300304 127875380 204600608 255750760 511501520 1023003040