| Base | Representation |
|---|---|
| bin | 1111101101110… |
| … | …10100110100000 |
| 3 | 100012001222102200 |
| 4 | 13312322212200 |
| 5 | 232222230240 |
| 6 | 21025413200 |
| 7 | 3160406310 |
| oct | 766724640 |
| 9 | 305058380 |
| 10 | 131836320 |
| 11 | 68466640 |
| 12 | 3819a200 |
| 13 | 2140c575 |
| 14 | 1371b440 |
| 15 | b892930 |
| hex | 7dba9a0 |
131836320 has 576 divisors, whose sum is σ = 594397440. Its totient is φ = 25804800.
The previous prime is 131836303. The next prime is 131836337. The reversal of 131836320 is 23638131.
It is a happy number.
131836320 is a `hidden beast` number, since 13 + 18 + 3 + 632 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (131836303) and next prime (131836337).
It is a super-2 number, since 2×1318363202 = 34761630542284800, which contains 22 as substring.
It is a congruent number.
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, 3215500 + ... + 3215540.
It is an arithmetic number, because the mean of its divisors is an integer number (1031940).
Almost surely, 2131836320 is an apocalyptic number.
131836320 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 131836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).
131836320 is an abundant number, since it is smaller than the sum of its proper divisors (462561120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131836320 is a wasteful number, since it uses less digits than its factorization.
131836320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109 (or 98 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 131836320 is about 11481.9998258143. Note that the first 3 decimals coincide. The cubic root of 131836320 is about 508.9537953255.
It can be divided in two parts, 13183 and 6320, that added together give a triangular number (19503 = T197).
The spelling of 131836320 in words is "one hundred thirty-one million, eight hundred thirty-six thousand, three hundred twenty".
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