Base | Representation |
---|---|
bin | 100111010101110… |
… | …0101011111000000 |
3 | 10101222220102020000 |
4 | 1032223211133000 |
5 | 10200413023301 |
6 | 334553120000 |
7 | 44466141060 |
oct | 11653453700 |
9 | 3358812200 |
10 | 1320048576 |
11 | 618151040 |
12 | 30a0b9000 |
13 | 180637542 |
14 | c745d3a0 |
15 | 7ad50786 |
hex | 4eae57c0 |
1320048576 has 280 divisors, whose sum is σ = 4880067456. Its totient is φ = 342766080.
The previous prime is 1320048571. The next prime is 1320048577. The reversal of 1320048576 is 6758400231.
1320048576 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1320048576.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1320048571) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397515 + ... + 400821.
Almost surely, 21320048576 is an apocalyptic number.
1320048576 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 1320048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440033728).
1320048576 is an abundant number, since it is smaller than the sum of its proper divisors (3560018880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1320048576 is a wasteful number, since it uses less digits than its factorization.
1320048576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3349 (or 3330 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 1320048576 is about 36332.4727482180. The cubic root of 1320048576 is about 1096.9747663802.
It can be divided in two parts, 13200 and 48576, that added together give a triangular number (61776 = T351).
The spelling of 1320048576 in words is "one billion, three hundred twenty million, forty-eight thousand, five hundred seventy-six".
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