Base | Representation |
---|---|
bin | 101000111011001… |
… | …1010001000000000 |
3 | 10112200221122222021 |
4 | 1101312122020000 |
5 | 10303020423110 |
6 | 344132451224 |
7 | 46013103631 |
oct | 12166321000 |
9 | 3480848867 |
10 | 1373217280 |
11 | 645166516 |
12 | 323a79b14 |
13 | 18b662006 |
14 | d053d888 |
15 | 808542da |
hex | 51d9a200 |
1373217280 has 160 divisors (see below), whose sum is σ = 3480246000. Its totient is φ = 518848512.
The previous prime is 1373217269. The next prime is 1373217301. The reversal of 1373217280 is 827123731.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 925133056 + 448084224 = 30416^2 + 21168^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-3 number, since 3×13732172803 (a number of 28 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934546 + ... + 3934894.
Almost surely, 21373217280 is an apocalyptic number.
1373217280 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 1373217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740123000).
1373217280 is an abundant number, since it is smaller than the sum of its proper divisors (2107028720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1373217280 is an equidigital number, since it uses as much as digits as its factorization.
1373217280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 454 (or 438 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 34.
The square root of 1373217280 is about 37056.9464473262. The cubic root of 1373217280 is about 1111.5092636508.
The spelling of 1373217280 in words is "one billion, three hundred seventy-three million, two hundred seventeen thousand, two hundred eighty".
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