Base | Representation |
---|---|
bin | 11100001000011… |
… | …01001111100000 |
3 | 121110001012222020 |
4 | 32010031033200 |
5 | 440402440330 |
6 | 35225541440 |
7 | 5563554351 |
oct | 1604151740 |
9 | 543035866 |
10 | 235983840 |
11 | 111230174 |
12 | 67044880 |
13 | 39b75b11 |
14 | 234abd28 |
15 | 15ab6210 |
hex | e10d3e0 |
235983840 has 48 divisors (see below), whose sum is σ = 743350608. Its totient is φ = 62928896.
The previous prime is 235983833. The next prime is 235983901. The reversal of 235983840 is 48389532.
235983840 is digitally balanced in base 3, 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 (48).
It is a super-2 number, since 2×2359838402 = 111376745482291200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 235983792 and 235983801.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245337 + ... + 246296.
It is an arithmetic number, because the mean of its divisors is an integer number (15486471).
Almost surely, 2235983840 is an apocalyptic number.
235983840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
235983840 is an abundant number, since it is smaller than the sum of its proper divisors (507366768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235983840 is a wasteful number, since it uses less digits than its factorization.
235983840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 491651 (or 491643 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 42.
The square root of 235983840 is about 15361.7655235328. The cubic root of 235983840 is about 617.9605550803.
It can be divided in two parts, 2359838 and 40, that added together give a triangular number (2359878 = T2172).
The spelling of 235983840 in words is "two hundred thirty-five million, nine hundred eighty-three thousand, eight hundred forty".
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