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1305403040 = 2558158769
BaseRepresentation
bin100110111001110…
…1101111010100000
310100222100100022202
41031303231322200
510133140344130
6333311152332
744230512524
oct11563557240
93328310282
101305403040
1160a958697
123052156a8
1317a5aa346
14c5529d84
157990b145
hex4dcedea0

1305403040 has 24 divisors (see below), whose sum is σ = 3084015060. Its totient is φ = 522161152.

The previous prime is 1305403039. The next prime is 1305403063. The reversal of 1305403040 is 403045031.

It can be written as a sum of positive squares in 2 ways, for example, as 1197990544 + 107412496 = 34612^2 + 10364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4079225 + ... + 4079544.

Almost surely, 21305403040 is an apocalyptic number.

1305403040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305403040 is an abundant number, since it is smaller than the sum of its proper divisors (1778612020).

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

1305403040 is an equidigital number, since it uses as much as digits as its factorization.

1305403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158784 (or 8158776 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1305403040 is about 36130.3617474279. The cubic root of 1305403040 is about 1092.9028032567.

Adding to 1305403040 its reverse (403045031), we get a palindrome (1708448071).

The spelling of 1305403040 in words is "one billion, three hundred five million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8158769 16317538 32635076 40793845 65270152 81587690 130540304 163175380 261080608 326350760 652701520 1305403040