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131255440 = 2451938501
BaseRepresentation
bin1111101001011…
…00110010010000
3100010222110121121
413310230302100
5232100133230
621005132024
73152436631
oct764546220
9303873547
10131255440
11680aa178
1237b5a014
1321268054
1413609888
15b7ca77a
hex7d2cc90

131255440 has 40 divisors (see below), whose sum is σ = 306786168. Its totient is φ = 52224000.

The previous prime is 131255429. The next prime is 131255491. The reversal of 131255440 is 44552131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 130782096 = 688^2 + 11436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 11190 + ... + 19690.

Almost surely, 2131255440 is an apocalyptic number.

131255440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131255440 is an abundant number, since it is smaller than the sum of its proper divisors (175530728).

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

131255440 is a wasteful number, since it uses less digits than its factorization.

131255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 131255440 is about 11456.6766559941. The cubic root of 131255440 is about 508.2051995119.

The spelling of 131255440 in words is "one hundred thirty-one million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 8501 15440 17002 34004 42505 68008 85010 136016 170020 340040 680080 1640693 3281386 6562772 8203465 13125544 16406930 26251088 32813860 65627720 131255440