| Base | Representation |
|---|---|
| bin | 1110000000101000101… |
| … | …1111111001001010000 |
| 3 | 212000021000222021010000 |
| 4 | 3200022023333021100 |
| 5 | 12420412401123320 |
| 6 | 302323202210000 |
| 7 | 23250333310014 |
| oct | 3401213771120 |
| 9 | 760230867100 |
| 10 | 240689082960 |
| 11 | 93091792497 |
| 12 | 3a792353900 |
| 13 | 1990a08aa21 |
| 14 | b913dc4544 |
| 15 | 63da6c3c90 |
| hex | 380a2ff250 |
240689082960 has 200 divisors, whose sum is σ = 836294962536. Its totient is φ = 64157184000.
The previous prime is 240689082947. The next prime is 240689082961. The reversal of 240689082960 is 69280986042.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 3477225024 + 237211857936 = 58968^2 + 487044^2 .
It is a super-2 number, since 2×2406890829602 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 240689082897 and 240689082906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (240689082961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19440292 + ... + 19452668.
Almost surely, 2240689082960 is an apocalyptic number.
240689082960 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 240689082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418147481268).
240689082960 is an abundant number, since it is smaller than the sum of its proper divisors (595605879576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240689082960 is a wasteful number, since it uses less digits than its factorization.
240689082960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15403 (or 15388 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The spelling of 240689082960 in words is "two hundred forty billion, six hundred eighty-nine million, eighty-two thousand, nine hundred sixty".
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