| Base | Representation |
|---|---|
| bin | 100101001101111… |
| … | …0000101000000000 |
| 3 | 10020000211011021000 |
| 4 | 1022123300220000 |
| 5 | 10024142303130 |
| 6 | 323525532000 |
| 7 | 42642356130 |
| oct | 11233605000 |
| 9 | 3200734230 |
| 10 | 1248791040 |
| 11 | 590a01212 |
| 12 | 2aa274000 |
| 13 | 16b948513 |
| 14 | bbbd0ac0 |
| 15 | 74977260 |
| hex | 4a6f0a00 |
1248791040 has 640 divisors, whose sum is σ = 5303232000. Its totient is φ = 272498688.
The previous prime is 1248791029. The next prime is 1248791041. The reversal of 1248791040 is 401978421.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1248790986 and 1248791004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1248791041) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 14031316 + ... + 14031404.
It is an arithmetic number, because the mean of its divisors is an integer number (8286300).
Almost surely, 21248791040 is an apocalyptic number.
1248791040 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 1248791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616000).
1248791040 is an abundant number, since it is smaller than the sum of its proper divisors (4054440960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1248791040 is an equidigital number, since it uses as much as digits as its factorization.
1248791040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 1248791040 is about 35338.2376470587. The cubic root of 1248791040 is about 1076.8699496136.
The spelling of 1248791040 in words is "one billion, two hundred forty-eight million, seven hundred ninety-one thousand, forty".
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