| Base | Representation |
|---|---|
| bin | 111110010100110… |
| … | …110111000000000 |
| 3 | 2200212120210001110 |
| 4 | 332110312320000 |
| 5 | 4120141430130 |
| 6 | 251432003320 |
| 7 | 34624630653 |
| oct | 7624667000 |
| 9 | 2625523043 |
| 10 | 1045655040 |
| 11 | 497277121 |
| 12 | 252230540 |
| 13 | 1388339c1 |
| 14 | 9cc3389a |
| 15 | 61bedab0 |
| hex | 3e536e00 |
1045655040 has 160 divisors (see below), whose sum is σ = 3539907360. Its totient is φ = 262406144.
The previous prime is 1045655027. The next prime is 1045655041. The reversal of 1045655040 is 405565401.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1045654989 and 1045655007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1045655041) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126556 + ... + 134564.
It is an arithmetic number, because the mean of its divisors is an integer number (22124421).
Almost surely, 21045655040 is an apocalyptic number.
1045655040 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 1045655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769953680).
1045655040 is an abundant number, since it is smaller than the sum of its proper divisors (2494252320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1045655040 is an equidigital number, since it uses as much as digits as its factorization.
1045655040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8052 (or 8036 counting only the distinct ones).
The product of its (nonzero) digits is 12000, while the sum is 30.
The square root of 1045655040 is about 32336.5898016473. The cubic root of 1045655040 is about 1014.9924498132.
It can be divided in two parts, 1045 and 655040, that added together give a triangular number (656085 = T1145).
The spelling of 1045655040 in words is "one billion, forty-five million, six hundred fifty-five thousand, forty".
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