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131265400 = 2352793761
BaseRepresentation
bin1111101001011…
…11001101111000
3100010222222021111
413310233031320
5232100443100
621005250104
73152510650
oct764571570
9303888244
10131265400
1168106702
1237b63934
132126c746
141360d360
15b7cd6ba
hex7d2f378

131265400 has 48 divisors (see below), whose sum is σ = 348794640. Its totient is φ = 45004800.

The previous prime is 131265391. The next prime is 131265403. The reversal of 131265400 is 4562131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131265403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45481 + ... + 48280.

It is an arithmetic number, because the mean of its divisors is an integer number (7266555).

Almost surely, 2131265400 is an apocalyptic number.

131265400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131265400 is an abundant number, since it is smaller than the sum of its proper divisors (217529240).

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

131265400 is a wasteful number, since it uses less digits than its factorization.

131265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93784 (or 93775 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 131265400 is about 11457.1113287774. Note that the first 3 decimals coincide. The cubic root of 131265400 is about 508.2180538255.

The spelling of 131265400 in words is "one hundred thirty-one million, two hundred sixty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 93761 187522 375044 468805 656327 750088 937610 1312654 1875220 2344025 2625308 3281635 3750440 4688050 5250616 6563270 9376100 13126540 16408175 18752200 26253080 32816350 65632700 131265400