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131554104 = 23311289509
BaseRepresentation
bin1111101011101…
…01101100111000
3100011112122022020
413311311230320
5232134212404
621015354440
73155122443
oct765655470
9304478266
10131554104
1168293600
1238082a20
1321340c86
141368665a
15b838ed9
hex7d75b38

131554104 has 96 divisors (see below), whose sum is σ = 366282000. Its totient is φ = 39339520.

The previous prime is 131554099. The next prime is 131554123. The reversal of 131554104 is 401455131.

It is a happy number.

131554104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 258202 + ... + 258710.

Almost surely, 2131554104 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 131554104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183141000).

131554104 is an abundant number, since it is smaller than the sum of its proper divisors (234727896).

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

131554104 is a wasteful number, since it uses less digits than its factorization.

131554104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 131554104 is about 11469.7037450843. The cubic root of 131554104 is about 508.5903711511.

The spelling of 131554104 in words is "one hundred thirty-one million, five hundred fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 121 132 178 242 264 267 356 363 484 509 534 712 726 968 979 1018 1068 1452 1527 1958 2036 2136 2904 2937 3054 3916 4072 5599 5874 6108 7832 10769 11198 11748 12216 16797 21538 22396 23496 32307 33594 43076 44792 45301 61589 64614 67188 86152 90602 123178 129228 134376 135903 181204 184767 246356 258456 271806 362408 369534 492712 498311 543612 739068 996622 1087224 1478136 1494933 1993244 2989866 3986488 5481421 5979732 10962842 11959464 16444263 21925684 32888526 43851368 65777052 131554104