Search a number
-
+
131489550 = 23252476217
BaseRepresentation
bin1111101011001…
…01111100001110
3100011102100202100
413311211330032
5232130131200
621014135530
73154433313
oct765457416
9304370670
10131489550
116824a055
12380515a6
132131a78a
141366ad0a
15b824d00
hex7d65f0e

131489550 has 72 divisors (see below), whose sum is σ = 360842976. Its totient is φ = 34312320.

The previous prime is 131489521. The next prime is 131489573. The reversal of 131489550 is 55984131.

131489550 is a `hidden beast` number, since 13 + 14 + 89 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18042 + ... + 24258.

It is an arithmetic number, because the mean of its divisors is an integer number (5011708).

Almost surely, 2131489550 is an apocalyptic number.

131489550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131489550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180421488).

131489550 is an abundant number, since it is smaller than the sum of its proper divisors (229353426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131489550 is a wasteful number, since it uses less digits than its factorization.

131489550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 131489550 is about 11466.8892904746. The cubic root of 131489550 is about 508.5071685916.

The spelling of 131489550 in words is "one hundred thirty-one million, four hundred eighty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 423 450 470 705 846 1175 1410 2115 2350 3525 4230 6217 7050 10575 12434 18651 21150 31085 37302 55953 62170 93255 111906 155425 186510 279765 292199 310850 466275 559530 584398 876597 932550 1398825 1460995 1753194 2629791 2797650 2921990 4382985 5259582 7304975 8765970 13148955 14609950 21914925 26297910 43829850 65744775 131489550