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1054010000 = 2454105401
BaseRepresentation
bin111110110100101…
…110101010010000
32201110022020220102
4332310232222100
54124311310000
6252331031532
735055636311
oct7664565220
92643266812
101054010000
114a0a6334a
12254b9b5a8
1313a49a874
149ddaa608
15627ee3d5
hex3ed2ea90

1054010000 has 50 divisors (see below), whose sum is σ = 2551887822. Its totient is φ = 421600000.

The previous prime is 1054009987. The next prime is 1054010039. The reversal of 1054010000 is 104501.

It can be written as a sum of positive squares in 5 ways, for example, as 788711056 + 265298944 = 28084^2 + 16288^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×10540100002 = 2221874160200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42701 + ... + 62700.

Almost surely, 21054010000 is an apocalyptic number.

1054010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054010000 is an abundant number, since it is smaller than the sum of its proper divisors (1497877822).

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

1054010000 is an equidigital number, since it uses as much as digits as its factorization.

1054010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105429 (or 105408 counting only the distinct ones).

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

The square root of 1054010000 is about 32465.5201714065. The cubic root of 1054010000 is about 1017.6886018554.

Adding to 1054010000 its reverse (104501), we get a palindrome (1054114501).

The spelling of 1054010000 in words is "one billion, fifty-four million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 105401 210802 421604 527005 843208 1054010 1686416 2108020 2635025 4216040 5270050 8432080 10540100 13175125 21080200 26350250 42160400 52700500 65875625 105401000 131751250 210802000 263502500 527005000 1054010000