| Base | Representation |
|---|---|
| bin | 11111011101001… |
| … | …01111000000000 |
| 3 | 200101112002100001 |
| 4 | 33232211320000 |
| 5 | 1020022401000 |
| 6 | 42103405344 |
| 7 | 6352606060 |
| oct | 1756457000 |
| 9 | 611462301 |
| 10 | 263872000 |
| 11 | 125a48a37 |
| 12 | 74453854 |
| 13 | 4288b7a2 |
| 14 | 2708b3a0 |
| 15 | 1827446a |
| hex | fba5e00 |
263872000 has 320 divisors, whose sum is σ = 817090560. Its totient is φ = 82944000.
The previous prime is 263871989. The next prime is 263872009. The reversal of 263872000 is 278362.
263872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (320).
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 263872000 = 1203 + 6403 = 4323 + 5683.
It is a self number, because there is not a number n which added to its sum of digits gives 263872000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (263872009) 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, 8511985 + ... + 8512015.
It is an arithmetic number, because the mean of its divisors is an integer number (2553408).
Almost surely, 2263872000 is an apocalyptic number.
263872000 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 263872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408545280).
263872000 is an abundant number, since it is smaller than the sum of its proper divisors (553218560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
263872000 is an equidigital number, since it uses as much as digits as its factorization.
263872000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 28.
The square root of 263872000 is about 16244.1374039990. The cubic root of 263872000 is about 641.4031713613.
The spelling of 263872000 in words is "two hundred sixty-three million, eight hundred seventy-two thousand".
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