| Base | Representation |
|---|---|
| bin | 100000100000001… |
| … | …0011000001100000 |
| 3 | 2211000011001210000 |
| 4 | 1001000103001200 |
| 5 | 4213143100320 |
| 6 | 300115140000 |
| 7 | 36011630655 |
| oct | 10100230140 |
| 9 | 2730131700 |
| 10 | 1090596960 |
| 11 | 50a682702 |
| 12 | 2652a4600 |
| 13 | 144c3aa5b |
| 14 | a4bb1c2c |
| 15 | 65b29c90 |
| hex | 41013060 |
1090596960 has 480 divisors, whose sum is σ = 4185941760. Its totient is φ = 266499072.
The previous prime is 1090596929. The next prime is 1090596961. The reversal of 1090596960 is 696950901.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×10905969602 = 2378803458322483200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1090596961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10588269 + ... + 10588371.
It is an arithmetic number, because the mean of its divisors is an integer number (8720712).
Almost surely, 21090596960 is an apocalyptic number.
1090596960 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 1090596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092970880).
1090596960 is an abundant number, since it is smaller than the sum of its proper divisors (3095344800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1090596960 is a wasteful number, since it uses less digits than its factorization.
1090596960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 192 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 131220, while the sum is 45.
The square root of 1090596960 is about 33024.1874994677. The cubic root of 1090596960 is about 1029.3303090076.
The spelling of 1090596960 in words is "one billion, ninety million, five hundred ninety-six thousand, nine hundred sixty".
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