Search a number
-
+
131544054 = 23314916349
BaseRepresentation
bin1111101011100…
…11001111110110
3100011112010112000
413311303033312
5232133402204
621015240130
73155051235
oct765631766
9304463460
10131544054
1168286aa4
1238079046
1321339525
1413682b1c
15b836039
hex7d733f6

131544054 has 32 divisors (see below), whose sum is σ = 294300000. Its totient is φ = 43551072.

The previous prime is 131544041. The next prime is 131544059. The reversal of 131544054 is 450445131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131544059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 16220.

It is an arithmetic number, because the mean of its divisors is an integer number (9196875).

Almost surely, 2131544054 is an apocalyptic number.

131544054 is an abundant number, since it is smaller than the sum of its proper divisors (162755946).

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

131544054 is a wasteful number, since it uses less digits than its factorization.

131544054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509 (or 16503 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 131544054 is about 11469.2656260111. The cubic root of 131544054 is about 508.5774196651.

Adding to 131544054 its reverse (450445131), we get a palindrome (581989185).

It can be divided in two parts, 1315 and 44054, that added together give a square (45369 = 2132).

The spelling of 131544054 in words is "one hundred thirty-one million, five hundred forty-four thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 149 298 447 894 1341 2682 4023 8046 16349 32698 49047 98094 147141 294282 441423 882846 2436001 4872002 7308003 14616006 21924009 43848018 65772027 131544054