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131434540 = 22531720731
BaseRepresentation
bin1111101010110…
…00100000101100
3100011022120021221
413311120200230
5232121401130
621013033124
73154114036
oct765304054
9304276257
10131434540
1168211796
12380257a4
13212cb723
1413654c56
15b81387a
hex7d5882c

131434540 has 24 divisors (see below), whose sum is σ = 276896592. Its totient is φ = 52405440.

The previous prime is 131434517. The next prime is 131434543. The reversal of 131434540 is 45434131.

131434540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131434543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4026 + ... + 16705.

It is an arithmetic number, because the mean of its divisors is an integer number (11537358).

Almost surely, 2131434540 is an apocalyptic number.

131434540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131434540 is an abundant number, since it is smaller than the sum of its proper divisors (145462052).

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

131434540 is a wasteful number, since it uses less digits than its factorization.

131434540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21057 (or 21055 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 131434540 is about 11464.4903942565. The cubic root of 131434540 is about 508.4362456395.

Adding to 131434540 its reverse (45434131), we get a palindrome (176868671).

The spelling of 131434540 in words is "one hundred thirty-one million, four hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 20731 41462 82924 103655 207310 414620 6571727 13143454 26286908 32858635 65717270 131434540