| Base | Representation |
|---|---|
| bin | 110011010011… |
| … | …1011010000100 |
| 3 | 1212121200000000 |
| 4 | 1212213122010 |
| 5 | 23341300400 |
| 6 | 2400321300 |
| 7 | 444434643 |
| oct | 146473204 |
| 9 | 55550000 |
| 10 | 26900100 |
| 11 | 14203497 |
| 12 | 9013230 |
| 13 | 575b026 |
| 14 | 380335a |
| 15 | 2565600 |
| hex | 19a7684 |
26900100 has 162 divisors, whose sum is σ = 89690874. Its totient is φ = 6998400.
The previous prime is 26900099. The next prime is 26900101. The reversal of 26900100 is 100962.
It is an interprime number because it is at equal distance from previous prime (26900099) and next prime (26900101).
It can be written as a sum of positive squares in 3 ways, for example, as 26244 + 26873856 = 162^2 + 5184^2 .
It is a tau number, because it is divible by the number of its divisors (162).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 9.
It is a zygodrome in base 9.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (26900101) by changing a digit.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 656080 + ... + 656120.
Almost surely, 226900100 is an apocalyptic number.
26900100 is a gapful number since it is divisible by the number (20) 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 26900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44845437).
26900100 is an abundant number, since it is smaller than the sum of its proper divisors (62790774).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26900100 is an equidigital number, since it uses as much as digits as its factorization.
26900100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 26900100 is about 5186.5306323206. The cubic root of 26900100 is about 299.6295427263.
It can be divided in two parts, 26900 and 100, that added together give a cube (27000 = 303).
The spelling of 26900100 in words is "twenty-six million, nine hundred thousand, one hundred".
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