| Base | Representation |
|---|---|
| bin | 111101001011111… |
| … | …010001010100000 |
| 3 | 2122112121020011201 |
| 4 | 331023322022200 |
| 5 | 4100243011000 |
| 6 | 245510050544 |
| 7 | 34303243444 |
| oct | 7513721240 |
| 9 | 2575536151 |
| 10 | 1026532000 |
| 11 | 4874a575a |
| 12 | 247949a54 |
| 13 | 1348997b0 |
| 14 | 9a496824 |
| 15 | 601c296a |
| hex | 3d2fa2a0 |
1026532000 has 192 divisors, whose sum is σ = 2861913600. Its totient is φ = 358732800.
The previous prime is 1026531977. The next prime is 1026532009. The reversal of 1026532000 is 2356201.
It is a happy number.
1026532000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is not an unprimeable number, because it can be changed into a prime (1026532009) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987481 + ... + 988519.
It is an arithmetic number, because the mean of its divisors is an integer number (14905800).
Almost surely, 21026532000 is an apocalyptic number.
1026532000 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 1026532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430956800).
1026532000 is an abundant number, since it is smaller than the sum of its proper divisors (1835381600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1026532000 is a wasteful number, since it uses less digits than its factorization.
1026532000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 19.
The square root of 1026532000 is about 32039.5380740734. The cubic root of 1026532000 is about 1008.7669165689.
Adding to 1026532000 its reverse (2356201), we get a palindrome (1028888201).
It can be divided in two parts, 102653 and 2000, that added together give a triangular number (104653 = T457).
The spelling of 1026532000 in words is "one billion, twenty-six million, five hundred thirty-two thousand".
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