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1054000000 = 27561731
BaseRepresentation
bin111110110100101…
…100001110000000
32201110021202012001
4332310230032000
54124311000000
6252330513344
735055565204
oct7664541600
92643252161
101054000000
114a0a56889
12254b95854
1313a496151
149dda6b04
15627eb46a
hex3ed2c380

1054000000 has 224 divisors, whose sum is σ = 2868713280. Its totient is φ = 384000000.

The previous prime is 1053999971. The next prime is 1054000007. The reversal of 1054000000 is 4501.

It is a super-2 number, since 2×10540000002 = 2221832000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33999985 + ... + 34000015.

Almost surely, 21054000000 is an apocalyptic number.

1054000000 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 1054000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434356640).

1054000000 is an abundant number, since it is smaller than the sum of its proper divisors (1814713280).

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

1054000000 is an frugal number, since it uses more digits than its factorization.

1054000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1054000000 is about 32465.3661614959. The cubic root of 1054000000 is about 1017.6853833792.

Adding to 1054000000 its reverse (4501), we get a palindrome (1054004501).

The spelling of 1054000000 in words is "one billion, fifty-four million", and thus it is an aban number.