| Base | Representation |
|---|---|
| bin | 101011011100110… |
| … | …1101010011000000 |
| 3 | 10202121102110112200 |
| 4 | 1112321231103000 |
| 5 | 10441214441240 |
| 6 | 400401153200 |
| 7 | 51062345334 |
| oct | 12671552300 |
| 9 | 3677373480 |
| 10 | 1457968320 |
| 11 | 688a921a6 |
| 12 | 34832b800 |
| 13 | 1a3096a63 |
| 14 | db8c17c4 |
| 15 | 87ee5930 |
| hex | 56e6d4c0 |
1457968320 has 336 divisors, whose sum is σ = 5242572192. Its totient is φ = 371589120.
The previous prime is 1457968319. The next prime is 1457968327. The reversal of 1457968320 is 238697541.
1457968320 is a `hidden beast` number, since 14 + 579 + 68 + 3 + 2 + 0 = 666.
1457968320 is digitally balanced in base 10, 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 (45).
1457968320 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (1457968327) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554144 + ... + 7554336.
It is a 1-persistent number, because it is pandigital, but 2⋅1457968320 = 2915936640 is not.
It is a vampire number, since it can be written as 15738 ⋅ 92640 (with its own digits).
Almost surely, 21457968320 is an apocalyptic number.
1457968320 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 1457968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621286096).
1457968320 is an abundant number, since it is smaller than the sum of its proper divisors (3784603872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1457968320 is a wasteful number, since it uses less digits than its factorization.
1457968320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 320 (or 307 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1457968320 is about 38183.3513458418. The cubic root of 1457968320 is about 1133.9207320272.
The spelling of 1457968320 in words is "one billion, four hundred fifty-seven million, nine hundred sixty-eight thousand, three hundred twenty".
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