Base | Representation |
---|---|
bin | 1111101100010… |
… | …10100111011100 |
3 | 100011200222211010 |
4 | 13312022213130 |
5 | 232144433042 |
6 | 21021255220 |
7 | 3155630265 |
oct | 766124734 |
9 | 304628733 |
10 | 131639772 |
11 | 68341a00 |
12 | 38104510 |
13 | 21370c74 |
14 | 136a996c |
15 | b85459c |
hex | 7d8a9dc |
131639772 has 72 divisors (see below), whose sum is σ = 357548688. Its totient is φ = 37537280.
The previous prime is 131639759. The next prime is 131639777. The reversal of 131639772 is 277936131.
It is a happy number.
It is a self number, because there is not a number n which added to its sum of digits gives 131639772.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131639777) 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, 22018 + ... + 27350.
It is an arithmetic number, because the mean of its divisors is an integer number (4965954).
Almost surely, 2131639772 is an apocalyptic number.
131639772 is a gapful number since it is divisible by the number (12) 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 131639772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774344).
131639772 is an abundant number, since it is smaller than the sum of its proper divisors (225908916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131639772 is a wasteful number, since it uses less digits than its factorization.
131639772 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5379 (or 5366 counting only the distinct ones).
The product of its digits is 47628, while the sum is 39.
The square root of 131639772 is about 11473.4376714218. The cubic root of 131639772 is about 508.7007451707.
The spelling of 131639772 in words is "one hundred thirty-one million, six hundred thirty-nine thousand, seven hundred seventy-two".
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