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131239248 = 2437255799
BaseRepresentation
bin1111101001010…
…00110101010000
3100010221122101220
413310220311100
5232044123443
621004525040
73152341500
oct764506520
9303848356
10131239248
1168098a98
1237b50780
132126087a
1413603a00
15b7c5a83
hex7d28d50

131239248 has 60 divisors (see below), whose sum is σ = 394394400. Its totient is φ = 37496256.

The previous prime is 131239247. The next prime is 131239253. The reversal of 131239248 is 842932131.

131239248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131239247) 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 11 ways as a sum of consecutive naturals, for example, 25548 + ... + 30251.

It is an arithmetic number, because the mean of its divisors is an integer number (6573240).

Almost surely, 2131239248 is an apocalyptic number.

It is an amenable number.

131239248 is an abundant number, since it is smaller than the sum of its proper divisors (263155152).

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

131239248 is a wasteful number, since it uses less digits than its factorization.

131239248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55824 (or 55811 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 131239248 is about 11455.9699720277. The cubic root of 131239248 is about 508.1843008302.

The spelling of 131239248 in words is "one hundred thirty-one million, two hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 55799 111598 167397 223196 334794 390593 446392 669588 781186 892784 1171779 1339176 1562372 2343558 2678352 2734151 3124744 4687116 5468302 6249488 8202453 9374232 10936604 16404906 18748464 21873208 32809812 43746416 65619624 131239248