| Base | Representation |
|---|---|
| bin | 101011011100010… |
| … | …1010010001111100 |
| 3 | 10202120220112000000 |
| 4 | 1112320222101330 |
| 5 | 10441132200240 |
| 6 | 400351234300 |
| 7 | 51060123132 |
| oct | 12670522174 |
| 9 | 3676815000 |
| 10 | 1457693820 |
| 11 | 688914a40 |
| 12 | 348218990 |
| 13 | 1a2ccbb2b |
| 14 | db84d752 |
| 15 | 87e8e430 |
| hex | 56e2a47c |
1457693820 has 336 divisors, whose sum is σ = 5123109600. Its totient is φ = 345254400.
The previous prime is 1457693807. The next prime is 1457693843. The reversal of 1457693820 is 283967541.
1457693820 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).
1457693820 is strictly pandigital in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9783106 + ... + 9783254.
It is an arithmetic number, because the mean of its divisors is an integer number (15247350).
It is a 2-persistent number, because it is pandigital, and so is 2⋅1457693820 = 2915387640, but 3⋅1457693820 = 4373081460 is not.
It is a vampire number, since it can be written as 30195 ⋅ 48276 (with its own digits).
Almost surely, 21457693820 is an apocalyptic number.
1457693820 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 1457693820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561554800).
1457693820 is an abundant number, since it is smaller than the sum of its proper divisors (3665415780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1457693820 is a wasteful number, since it uses less digits than its factorization.
1457693820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 248 (or 231 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1457693820 is about 38179.7566781141. The cubic root of 1457693820 is about 1133.8495643223.
The spelling of 1457693820 in words is "one billion, four hundred fifty-seven million, six hundred ninety-three thousand, eight hundred twenty".
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