| Base | Representation |
|---|---|
| bin | 11110100110000… |
| … | …11100011100100 |
| 3 | 122212221100110200 |
| 4 | 33103003203210 |
| 5 | 1011200403130 |
| 6 | 41244550500 |
| 7 | 6234343023 |
| oct | 1723034344 |
| 9 | 585840420 |
| 10 | 256653540 |
| 11 | 121968670 |
| 12 | 71b52430 |
| 13 | 41232000 |
| 14 | 2612c8ba |
| 15 | 177ea760 |
| hex | f4c38e4 |
256653540 has 288 divisors, whose sum is σ = 935625600. Its totient is φ = 56459520.
The previous prime is 256653533. The next prime is 256653581. The reversal of 256653540 is 45356652.
It is a happy number.
256653540 is a `hidden beast` number, since 2 + 5 + 66 + 53 + 540 = 666.
256653540 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 256653495 and 256653504.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4350031 + ... + 4350089.
It is an arithmetic number, because the mean of its divisors is an integer number (3248700).
Almost surely, 2256653540 is an apocalyptic number.
256653540 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 256653540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).
256653540 is an abundant number, since it is smaller than the sum of its proper divisors (678972060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256653540 is a wasteful number, since it uses less digits than its factorization.
256653540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 124 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 108000, while the sum is 36.
The square root of 256653540 is about 16020.4101071102. The cubic root of 256653540 is about 635.5002898072.
It can be divided in two parts, 256 and 653540, that added together give a triangular number (653796 = T1143).
The spelling of 256653540 in words is "two hundred fifty-six million, six hundred fifty-three thousand, five hundred forty".
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