| Base | Representation |
|---|---|
| bin | 111110110100101… |
| … | …100011000000000 |
| 3 | 2201110021210001202 |
| 4 | 332310230120000 |
| 5 | 4124311010030 |
| 6 | 252330520332 |
| 7 | 35055600110 |
| oct | 7664543000 |
| 9 | 2643253052 |
| 10 | 1054000640 |
| 11 | 4a0a57310 |
| 12 | 254b960a8 |
| 13 | 13a496524 |
| 14 | 9dda7040 |
| 15 | 627eb745 |
| hex | 3ed2c600 |
1054000640 has 160 divisors (see below), whose sum is σ = 3151298304. Its totient is φ = 328458240.
The previous prime is 1054000637. The next prime is 1054000643. The reversal of 1054000640 is 460004501.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1054000637) and next prime (1054000643).
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×10540006402 = 2221834698240819200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1054000643) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 194447 + ... + 199793.
Almost surely, 21054000640 is an apocalyptic number.
1054000640 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 1054000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575649152).
1054000640 is an abundant number, since it is smaller than the sum of its proper divisors (2097297664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1054000640 is an equidigital number, since it uses as much as digits as its factorization.
1054000640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5388 (or 5372 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 1054000640 is about 32465.3760181520. The cubic root of 1054000640 is about 1017.6855893623.
The spelling of 1054000640 in words is "one billion, fifty-four million, six hundred forty", and thus it is an aban number.
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