| Base | Representation |
|---|---|
| bin | 101001011011011… |
| … | …1111110000100000 |
| 3 | 10120212210212102200 |
| 4 | 1102312333300200 |
| 5 | 10321334224030 |
| 6 | 345535413200 |
| 7 | 46310032326 |
| oct | 12266776040 |
| 9 | 3525725380 |
| 10 | 1390148640 |
| 11 | 653780281 |
| 12 | 329684200 |
| 13 | 19200c77a |
| 14 | d28a9d16 |
| 15 | 8209ad60 |
| hex | 52dbfc20 |
1390148640 has 144 divisors (see below), whose sum is σ = 4907611800. Its totient is φ = 357912576.
The previous prime is 1390148609. The next prime is 1390148671. The reversal of 1390148640 is 468410931.
1390148640 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 1 + 4 + 8 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (1390148609) and next prime (1390148671).
It can be written as a sum of positive squares in 4 ways, for example, as 737448336 + 652700304 = 27156^2 + 25548^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 = 1390148595 and 1390148604.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25116 + ... + 58404.
Almost surely, 21390148640 is an apocalyptic number.
1390148640 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 1390148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453805900).
1390148640 is an abundant number, since it is smaller than the sum of its proper divisors (3517463160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1390148640 is a wasteful number, since it uses less digits than its factorization.
1390148640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33339 (or 33328 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 1390148640 is about 37284.6971289831. The cubic root of 1390148640 is about 1116.0588090950.
The spelling of 1390148640 in words is "one billion, three hundred ninety million, one hundred forty-eight thousand, six hundred forty".
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