Base | Representation |
---|---|
bin | 1111101110111… |
… | …00001011100000 |
3 | 100012022222002121 |
4 | 13313130023200 |
5 | 232241130411 |
6 | 21032354024 |
7 | 3161521300 |
oct | 767341340 |
9 | 305288077 |
10 | 131973856 |
11 | 6854aa03 |
12 | 38245914 |
13 | 2145a051 |
14 | 13755600 |
15 | b8bd571 |
hex | 7ddc2e0 |
131973856 has 72 divisors (see below), whose sum is σ = 320087376. Its totient is φ = 53222400.
The previous prime is 131973841. The next prime is 131973871. The reversal of 131973856 is 658379131.
It is an interprime number because it is at equal distance from previous prime (131973841) and next prime (131973871).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24181 + ... + 29131.
It is an arithmetic number, because the mean of its divisors is an integer number (4445658).
Almost surely, 2131973856 is an apocalyptic number.
131973856 is a gapful number since it is divisible by the number (16) 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 131973856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160043688).
131973856 is an abundant number, since it is smaller than the sum of its proper divisors (188113520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131973856 is a wasteful number, since it uses less digits than its factorization.
131973856 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4992 (or 4977 counting only the distinct ones).
The product of its digits is 136080, while the sum is 43.
The square root of 131973856 is about 11487.9874651742. The cubic root of 131973856 is about 509.1307196140.
The spelling of 131973856 in words is "one hundred thirty-one million, nine hundred seventy-three thousand, eight hundred fifty-six".
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