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1054100000 = 255583127
BaseRepresentation
bin111110110101000…
…100101000100000
32201110110211100202
4332311010220200
54124322200000
6252333004332
735056462562
oct7665045040
92643424322
101054100000
114a1014a28
122550236a8
1313a4cc815
149ddd1332
156281add5
hex3ed44a20

1054100000 has 144 divisors (see below), whose sum is σ = 2645830656. Its totient is φ = 413280000.

The previous prime is 1054099999. The next prime is 1054100027. The reversal of 1054100000 is 14501.

It is a super-2 number, since 2×10541000002 = 2222253620000000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8299937 + ... + 8300063.

It is an arithmetic number, because the mean of its divisors is an integer number (18373824).

Almost surely, 21054100000 is an apocalyptic number.

1054100000 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 1054100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322915328).

1054100000 is an abundant number, since it is smaller than the sum of its proper divisors (1591730656).

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

1054100000 is an frugal number, since it uses more digits than its factorization.

1054100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1054100000 is about 32466.9062277267. The cubic root of 1054100000 is about 1017.7175672249.

Adding to 1054100000 its reverse (14501), we get a palindrome (1054114501).

The spelling of 1054100000 in words is "one billion, fifty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 127 160 166 200 250 254 332 400 415 500 508 625 635 664 800 830 1000 1016 1250 1270 1328 1660 2000 2032 2075 2500 2540 2656 3125 3175 3320 4000 4064 4150 5000 5080 6250 6350 6640 8300 10000 10160 10375 10541 12500 12700 13280 15875 16600 20000 20320 20750 21082 25000 25400 31750 33200 41500 42164 50000 50800 51875 52705 63500 66400 79375 83000 84328 100000 101600 103750 105410 127000 158750 166000 168656 207500 210820 254000 259375 263525 317500 332000 337312 396875 415000 421640 508000 518750 527050 635000 793750 830000 843280 1037500 1054100 1270000 1317625 1587500 1660000 1686560 2075000 2108200 2540000 2635250 3175000 4150000 4216400 5270500 6350000 6588125 8300000 8432800 10541000 12700000 13176250 21082000 26352500 32940625 42164000 52705000 65881250 105410000 131762500 210820000 263525000 527050000 1054100000