| Base | Representation |
|---|---|
| bin | 111100001110100… |
| … | …101001000000000 |
| 3 | 2121102100102201202 |
| 4 | 330032211020000 |
| 5 | 4032134030130 |
| 6 | 244133320332 |
| 7 | 34016504030 |
| oct | 7416451000 |
| 9 | 2542312652 |
| 10 | 1010455040 |
| 11 | 479414911 |
| 12 | 2424960a8 |
| 13 | 13145abba |
| 14 | 982ad8c0 |
| 15 | 5da99145 |
| hex | 3c3a5200 |
1010455040 has 160 divisors (see below), whose sum is σ = 2798928000. Its totient is φ = 342687744.
The previous prime is 1010455037. The next prime is 1010455051. The reversal of 1010455040 is 405540101.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×10104550402 = 2042038775722803200, 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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2024711 + ... + 2025209.
It is an arithmetic number, because the mean of its divisors is an integer number (17493300).
Almost surely, 21010455040 is an apocalyptic number.
1010455040 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 1010455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399464000).
1010455040 is an abundant number, since it is smaller than the sum of its proper divisors (1788472960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010455040 is an equidigital number, since it uses as much as digits as its factorization.
1010455040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 642 (or 626 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 20.
The square root of 1010455040 is about 31787.6554656049. The cubic root of 1010455040 is about 1003.4729380718.
Adding to 1010455040 its reverse (405540101), we get a palindrome (1415995141).
The spelling of 1010455040 in words is "one billion, ten million, four hundred fifty-five thousand, forty".
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