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131540000 = 25546577
BaseRepresentation
bin1111101011100…
…10010000100000
3100011111220221212
413311302100200
5232133240000
621015205252
73155033354
oct765622040
9304456855
10131540000
1168283a49
1238076828
1321337727
1413681464
15b834c35
hex7d72420

131540000 has 60 divisors (see below), whose sum is σ = 323657334. Its totient is φ = 52608000.

The previous prime is 131539997. The next prime is 131540029. The reversal of 131540000 is 45131.

It can be written as a sum of positive squares in 5 ways, for example, as 25120144 + 106419856 = 5012^2 + 10316^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16712 + ... + 23288.

Almost surely, 2131540000 is an apocalyptic number.

131540000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161828667).

131540000 is an abundant number, since it is smaller than the sum of its proper divisors (192117334).

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

131540000 is an frugal number, since it uses more digits than its factorization.

131540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 131540000 is about 11469.0888914508. The cubic root of 131540000 is about 508.5721950680.

Adding to 131540000 its reverse (45131), we get a palindrome (131585131).

The spelling of 131540000 in words is "one hundred thirty-one million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 6577 10000 13154 20000 26308 32885 52616 65770 105232 131540 164425 210464 263080 328850 526160 657700 822125 1052320 1315400 1644250 2630800 3288500 4110625 5261600 6577000 8221250 13154000 16442500 26308000 32885000 65770000 131540000