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131724054 = 232721113577
BaseRepresentation
bin1111101100111…
…11001100010110
3100011212021102200
413312133030112
5232210132204
621023145330
73156431100
oct766371426
9304767380
10131724054
116839a260
1238145246
13213a0437
14136cc570
15b86e539
hex7d9f316

131724054 has 72 divisors (see below), whose sum is σ = 362206728. Its totient is φ = 34211520.

The previous prime is 131724031. The next prime is 131724079. The reversal of 131724054 is 450427131.

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, 2914 + ... + 16490.

It is an arithmetic number, because the mean of its divisors is an integer number (5030649).

Almost surely, 2131724054 is an apocalyptic number.

131724054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131724054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181103364).

131724054 is an abundant number, since it is smaller than the sum of its proper divisors (230482674).

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

131724054 is a wasteful number, since it uses less digits than its factorization.

131724054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13610 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 131724054 is about 11477.1100020868. The cubic root of 131724054 is about 508.8092867579.

The spelling of 131724054 in words is "one hundred thirty-one million, seven hundred twenty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 13577 27154 40731 81462 95039 122193 149347 190078 244386 285117 298694 448041 570234 665273 855351 896082 1045429 1330546 1344123 1710702 1995819 2090858 2688246 3136287 3991638 5987457 6272574 7318003 9408861 11974914 14636006 18817722 21954009 43908018 65862027 131724054