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1998545280 = 27354722147
BaseRepresentation
bin111011100011111…
…0110000110000000
312011021121121201120
41313013312012000
513043111422110
6530151432240
7100345232424
oct16707660600
95137547646
101998545280
11936143716
12479385680
1325b088194
1414d5dab84
15ba6c6870
hex771f6180

1998545280 has 128 divisors (see below), whose sum is σ = 6506196480. Its totient is φ = 521582592.

The previous prime is 1998545273. The next prime is 1998545281. The reversal of 1998545280 is 825458991.

1998545280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998545281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79167 + ... + 101313.

It is an arithmetic number, because the mean of its divisors is an integer number (50829660).

Almost surely, 21998545280 is an apocalyptic number.

1998545280 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 1998545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253098240).

1998545280 is an abundant number, since it is smaller than the sum of its proper divisors (4507651200).

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

1998545280 is a wasteful number, since it uses less digits than its factorization.

1998545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22216 (or 22204 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The square root of 1998545280 is about 44705.0923273848. The cubic root of 1998545280 is about 1259.6155037439.

The spelling of 1998545280 in words is "one billion, nine hundred ninety-eight million, five hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3760 4512 5640 6016 7520 9024 11280 15040 18048 22147 22560 30080 44294 45120 66441 88588 90240 110735 132882 177176 221470 265764 332205 354352 442940 531528 664410 708704 885880 1040909 1063056 1328820 1417408 1771760 2081818 2126112 2657640 2834816 3122727 3543520 4163636 4252224 5204545 5315280 6245454 7087040 8327272 8504448 10409090 10630560 12490908 14174080 15613635 16654544 20818180 21261120 24981816 31227270 33309088 41636360 42522240 49963632 62454540 66618176 83272720 99927264 124909080 133236352 166545440 199854528 249818160 333090880 399709056 499636320 666181760 999272640 1998545280