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1803106494 = 23472954829
BaseRepresentation
bin110101101111001…
…0011100010111110
311122122212022010000
41223132103202332
512143043401434
6454530455130
762453103150
oct15336234276
94578768100
101803106494
11845896662
12423a344a6
1322973a027
14131684ad0
15a846db99
hex6b7938be

1803106494 has 80 divisors (see below), whose sum is σ = 4776789600. Its totient is φ = 497399616.

The previous prime is 1803106463. The next prime is 1803106511. The reversal of 1803106494 is 4946013081.

1803106494 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 1 + 0 + 649 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5472 + ... + 60300.

It is an arithmetic number, because the mean of its divisors is an integer number (59709870).

Almost surely, 21803106494 is an apocalyptic number.

1803106494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1803106494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388394800).

1803106494 is an abundant number, since it is smaller than the sum of its proper divisors (2973683106).

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

1803106494 is a wasteful number, since it uses less digits than its factorization.

1803106494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54879 (or 54870 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1803106494 is about 42463.0014718696. The cubic root of 1803106494 is about 1217.1397867055.

The spelling of 1803106494 in words is "one billion, eight hundred three million, one hundred six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 1134 1218 1566 1827 2349 3654 4698 5481 10962 16443 32886 54829 109658 164487 328974 383803 493461 767606 986922 1151409 1480383 1590041 2302818 2960766 3180082 3454227 4441149 4770123 6908454 8882298 9540246 10362681 11130287 14310369 20725362 22260574 28620738 31088043 33390861 42931107 62176086 66781722 85862214 100172583 128793321 200345166 257586642 300517749 601035498 901553247 1803106494