| Base | Representation |
|---|---|
| bin | 111001101101111100000 |
| 3 | 10120002101000 |
| 4 | 13031233200 |
| 5 | 441010141 |
| 6 | 104312000 |
| 7 | 22034661 |
| oct | 7155740 |
| 9 | 3502330 |
| 10 | 1891296 |
| 11 | 1081a60 |
| 12 | 772600 |
| 13 | 512b14 |
| 14 | 373368 |
| 15 | 2755b6 |
| hex | 1cdbe0 |
1891296 has 96 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 570240.
The previous prime is 1891291. The next prime is 1891297. The reversal of 1891296 is 6921981.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 1891296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1891291) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9405 + ... + 9603.
It is an arithmetic number, because the mean of its divisors is an integer number (63000).
21891296 is an apocalyptic number.
1891296 is a gapful number since it is divisible by the number (16) 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 1891296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).
1891296 is an abundant number, since it is smaller than the sum of its proper divisors (4156704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1891296 is a wasteful number, since it uses less digits than its factorization.
1891296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 229 (or 215 counting only the distinct ones).
The product of its digits is 7776, while the sum is 36.
The square root of 1891296 is about 1375.2439783544. The cubic root of 1891296 is about 123.6668127793. Note that the first 3 decimals are identical.
It can be divided in two parts, 1891 and 296, that added together give a 7-th power (2187 = 37).
The spelling of 1891296 in words is "one million, eight hundred ninety-one thousand, two hundred ninety-six".
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