Base | Representation |
---|---|
bin | 1111101001011… |
… | …10011000011000 |
3 | 100010222210120200 |
4 | 13310232120120 |
5 | 232100340401 |
6 | 21005222200 |
7 | 3152464656 |
oct | 764563030 |
9 | 303883520 |
10 | 131261976 |
11 | 6810407a |
12 | 37b61960 |
13 | 2126b011 |
14 | 1360bdd6 |
15 | b7cc686 |
hex | 7d2e618 |
131261976 has 96 divisors (see below), whose sum is σ = 368409600. Its totient is φ = 42194880.
The previous prime is 131261971. The next prime is 131261987. The reversal of 131261976 is 679162131.
131261976 is a `hidden beast` number, since 1 + 31 + 2 + 619 + 7 + 6 = 666.
It is a super-3 number, since 3×1312619763 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 131261976.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131261971) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267091 + ... + 267581.
It is an arithmetic number, because the mean of its divisors is an integer number (3837600).
Almost surely, 2131261976 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131261976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184204800).
131261976 is an abundant number, since it is smaller than the sum of its proper divisors (237147624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131261976 is a wasteful number, since it uses less digits than its factorization.
131261976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 629 (or 622 counting only the distinct ones).
The product of its digits is 13608, while the sum is 36.
The square root of 131261976 is about 11456.9619009579. The cubic root of 131261976 is about 508.2136349059.
The spelling of 131261976 in words is "one hundred thirty-one million, two hundred sixty-one thousand, nine hundred seventy-six".
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