| Base | Representation |
|---|---|
| bin | 111110010011100… |
| … | …001011110000000 |
| 3 | 2200211221000012000 |
| 4 | 332103201132000 |
| 5 | 4120044231331 |
| 6 | 251420304000 |
| 7 | 34621643034 |
| oct | 7623413600 |
| 9 | 2624830160 |
| 10 | 1045305216 |
| 11 | 49705830a |
| 12 | 2520a2000 |
| 13 | 1387406c7 |
| 14 | 9cb821c4 |
| 15 | 61b800e6 |
| hex | 3e4e1780 |
1045305216 has 128 divisors (see below), whose sum is σ = 3247680000. Its totient is φ = 330075648.
The previous prime is 1045305193. The next prime is 1045305223. The reversal of 1045305216 is 6125035401.
1045305216 is a `hidden beast` number, since 104 + 5 + 30 + 521 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 1045305216.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57705 + ... + 73623.
It is an arithmetic number, because the mean of its divisors is an integer number (25372500).
Almost surely, 21045305216 is an apocalyptic number.
1045305216 is a gapful number since it is divisible by the number (16) 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 1045305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623840000).
1045305216 is an abundant number, since it is smaller than the sum of its proper divisors (2202374784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1045305216 is a wasteful number, since it uses less digits than its factorization.
1045305216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15961 (or 15943 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 1045305216 is about 32331.1802444637. The cubic root of 1045305216 is about 1014.8792485793.
It can be divided in two parts, 104530 and 5216, that added together give a triangular number (109746 = T468).
The spelling of 1045305216 in words is "one billion, forty-five million, three hundred five thousand, two hundred sixteen".
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