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1039805040 = 24354332521
BaseRepresentation
bin111101111110100…
…010101001110000
32200110120120100210
4331332202221300
54112142230130
6251102344120
734524124401
oct7576425160
92613516323
101039805040
11493a40a0a
1225028b040
13137566071
149c14d9a8
15614455b0
hex3dfa2a70

1039805040 has 40 divisors (see below), whose sum is σ = 3223396368. Its totient is φ = 277281280.

The previous prime is 1039805029. The next prime is 1039805089. The reversal of 1039805040 is 405089301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1039804989 and 1039805007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2166021 + ... + 2166500.

Almost surely, 21039805040 is an apocalyptic number.

1039805040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1039805040 is an abundant number, since it is smaller than the sum of its proper divisors (2183591328).

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

1039805040 is a wasteful number, since it uses less digits than its factorization.

1039805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332537 (or 4332531 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1039805040 is about 32246.0081250377. The cubic root of 1039805040 is about 1013.0960903902.

The spelling of 1039805040 in words is "one billion, thirty-nine million, eight hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4332521 8665042 12997563 17330084 21662605 25995126 34660168 43325210 51990252 64987815 69320336 86650420 103980504 129975630 173300840 207961008 259951260 346601680 519902520 1039805040