Base | Representation |
---|---|
bin | 100000100000100… |
… | …1100011110000000 |
3 | 2211000121000112200 |
4 | 1001001030132000 |
5 | 4213223113011 |
6 | 300124153200 |
7 | 36013630653 |
oct | 10101143600 |
9 | 2730530480 |
10 | 1090832256 |
11 | 50a823468 |
12 | 265398800 |
13 | 144cc0b97 |
14 | a4c3389a |
15 | 65b74856 |
hex | 4104c780 |
1090832256 has 288 divisors, whose sum is σ = 3445504920. Its totient is φ = 330946560.
The previous prime is 1090832209. The next prime is 1090832257. The reversal of 1090832256 is 6522380901.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1090832256.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1090832257) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17882466 + ... + 17882526.
Almost surely, 21090832256 is an apocalyptic number.
1090832256 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 1090832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722752460).
1090832256 is an abundant number, since it is smaller than the sum of its proper divisors (2354672664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1090832256 is a wasteful number, since it uses less digits than its factorization.
1090832256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 1090832256 is about 33027.7497871108. The cubic root of 1090832256 is about 1029.4043295968.
The spelling of 1090832256 in words is "one billion, ninety million, eight hundred thirty-two thousand, two hundred fifty-six".
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