| Base | Representation |
|---|---|
| bin | 101000011001110… |
| … | …1000011110010000 |
| 3 | 10111111000022210101 |
| 4 | 1100303220132100 |
| 5 | 10234030244100 |
| 6 | 342305342144 |
| 7 | 45411236200 |
| oct | 12063503620 |
| 9 | 3444008711 |
| 10 | 1355712400 |
| 11 | 63629a879 |
| 12 | 31a037954 |
| 13 | 187b434b3 |
| 14 | cc0a4400 |
| 15 | 7e04786a |
| hex | 50ce8790 |
1355712400 has 135 divisors (see below), whose sum is σ = 3803331441. Its totient is φ = 463048320.
The previous prime is 1355712383. The next prime is 1355712401. The reversal of 1355712400 is 42175531.
It is a happy number.
The square root of 1355712400 is 36820.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 488056464 + 867655936 = 22092^2 + 29456^2 .
It is a super-2 number, since 2×13557124002 = 3675912223027520000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is not an unprimeable number, because it can be changed into a prime (1355712401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5154669 + ... + 5154931.
Almost surely, 21355712400 is an apocalyptic number.
1355712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1355712400 is the 36820-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1355712400
1355712400 is an abundant number, since it is smaller than the sum of its proper divisors (2447619041).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1355712400 is an equidigital number, since it uses as much as digits as its factorization.
1355712400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 558 (or 277 counting only the distinct ones).
The product of its (nonzero) digits is 4200, while the sum is 28.
The cubic root of 1355712400 is about 1106.7661198343.
Adding to 1355712400 its reverse (42175531), we get a palindrome (1397887931).
The spelling of 1355712400 in words is "one billion, three hundred fifty-five million, seven hundred twelve thousand, four hundred".
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