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131744500 = 2253263489
BaseRepresentation
bin1111101101001…
…00001011110100
3100011220022110221
413312210023310
5232211311000
621023424124
73156544516
oct766441364
9304808427
10131744500
1168403658
1238155044
13213a9834
14136d5bb6
15b87561a
hex7da42f4

131744500 has 24 divisors (see below), whose sum is σ = 287731080. Its totient is φ = 52697600.

The previous prime is 131744467. The next prime is 131744507. The reversal of 131744500 is 5447131.

131744500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 131744484 = 4^2 + 11478^2 .

It is a super-2 number, since 2×1317445002 = 34713226560500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131744507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131245 + ... + 132244.

It is an arithmetic number, because the mean of its divisors is an integer number (11988795).

Almost surely, 2131744500 is an apocalyptic number.

131744500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131744500 is an abundant number, since it is smaller than the sum of its proper divisors (155986580).

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

131744500 is a wasteful number, since it uses less digits than its factorization.

131744500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263508 (or 263496 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 131744500 is about 11478.0006969855. Note that the first 3 decimals coincide. The cubic root of 131744500 is about 508.8356109211.

The spelling of 131744500 in words is "one hundred thirty-one million, seven hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 263489 526978 1053956 1317445 2634890 5269780 6587225 13174450 26348900 32936125 65872250 131744500