| Base | Representation |
|---|---|
| bin | 10110101010010… |
| … | …100000000000000 |
| 3 | 222111101200121210 |
| 4 | 112222110000000 |
| 5 | 1234312100340 |
| 6 | 101420450120 |
| 7 | 12264365520 |
| oct | 2652240000 |
| 9 | 874350553 |
| 10 | 380190720 |
| 11 | 185675a08 |
| 12 | a73a9940 |
| 13 | 609c6c30 |
| 14 | 386c9680 |
| 15 | 2359e180 |
| hex | 16a94000 |
380190720 has 480 divisors, whose sum is σ = 1585398528. Its totient is φ = 75497472.
The previous prime is 380190719. The next prime is 380190721. The reversal of 380190720 is 27091083.
380190720 = T147 + T148 + ... + T1316.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (380190719) and next prime (380190721).
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a zygodrome in base 4.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1360 × 208 × 1344.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (380190721) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22364152 + ... + 22364168.
Almost surely, 2380190720 is an apocalyptic number.
380190720 is a gapful number since it is divisible by the number (30) 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 380190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792699264).
380190720 is an abundant number, since it is smaller than the sum of its proper divisors (1205207808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380190720 is a wasteful number, since it uses less digits than its factorization.
380190720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 30.
The square root of 380190720 is about 19498.4799407544. The cubic root of 380190720 is about 724.4368008137.
The spelling of 380190720 in words is "three hundred eighty million, one hundred ninety thousand, seven hundred twenty".
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