| Base | Representation |
|---|---|
| bin | 10101011111110… |
| … | …11110101111000 |
| 3 | 110120100010021200 |
| 4 | 22233323311320 |
| 5 | 332131304130 |
| 6 | 25521134200 |
| 7 | 4316563611 |
| oct | 1257736570 |
| 9 | 416303250 |
| 10 | 180338040 |
| 11 | 92883703 |
| 12 | 5048a360 |
| 13 | 2b4919cc |
| 14 | 19d44c08 |
| 15 | 10c73760 |
| hex | abfbd78 |
180338040 has 192 divisors, whose sum is σ = 630115200. Its totient is φ = 44568576.
The previous prime is 180338033. The next prime is 180338047. The reversal of 180338040 is 40833081.
It is a Cunningham number, because it is equal to 134292-1.
It is an interprime number because it is at equal distance from previous prime (180338033) and next prime (180338047).
It is a junction number, because it is equal to n+sod(n) for n = 180337995 and 180338013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (180338047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483294 + ... + 483666.
It is an arithmetic number, because the mean of its divisors is an integer number (3281850).
Almost surely, 2180338040 is an apocalyptic number.
180338040 is a gapful number since it is divisible by the number (10) 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 180338040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315057600).
180338040 is an abundant number, since it is smaller than the sum of its proper divisors (449777160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
180338040 is a wasteful number, since it uses less digits than its factorization.
180338040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 486 (or 479 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 180338040 is about 13428.9999627671. Note that the first 4 decimals coincide. The cubic root of 180338040 is about 564.9748494300.
The spelling of 180338040 in words is "one hundred eighty million, three hundred thirty-eight thousand, forty".
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