| Base | Representation |
|---|---|
| bin | 1111101010001… |
| … | …10111100000000 |
| 3 | 100011011220120000 |
| 4 | 13311012330000 |
| 5 | 232112100220 |
| 6 | 21011320000 |
| 7 | 3153364140 |
| oct | 765067400 |
| 9 | 304156500 |
| 10 | 131362560 |
| 11 | 681726aa |
| 12 | 37bb0000 |
| 13 | 212a4a34 |
| 14 | 13636920 |
| 15 | b7ec390 |
| hex | 7d46f00 |
131362560 has 360 divisors, whose sum is σ = 540155616. Its totient is φ = 29859840.
The previous prime is 131362559. The next prime is 131362571. The reversal of 131362560 is 65263131.
131362560 is a `hidden beast` number, since 1 + 31 + 3 + 625 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×1313625602 = 34512244339507200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725670 + ... + 725850.
Almost surely, 2131362560 is an apocalyptic number.
131362560 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 131362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270077808).
131362560 is an abundant number, since it is smaller than the sum of its proper divisors (408793056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131362560 is an equidigital number, since it uses as much as digits as its factorization.
131362560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 131362560 is about 11461.3507057414. The cubic root of 131362560 is about 508.3434138166.
The spelling of 131362560 in words is "one hundred thirty-one million, three hundred sixty-two thousand, five hundred sixty".
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