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131432420 = 2257938803
BaseRepresentation
bin1111101010101…
…11111111100100
3100011022110101102
413311113333210
5232121314140
621013015232
73154104620
oct765277744
9304273342
10131432420
1168210139
1238024518
13212ca782
1413654180
15b812e15
hex7d57fe4

131432420 has 24 divisors (see below), whose sum is σ = 315438144. Its totient is φ = 45062496.

The previous prime is 131432407. The next prime is 131432449. The reversal of 131432420 is 24234131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131432392 and 131432401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469262 + ... + 469541.

It is an arithmetic number, because the mean of its divisors is an integer number (13143256).

Almost surely, 2131432420 is an apocalyptic number.

131432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131432420 is an abundant number, since it is smaller than the sum of its proper divisors (184005724).

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

131432420 is a wasteful number, since it uses less digits than its factorization.

131432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938819 (or 938817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131432420 is about 11464.3979344752. The cubic root of 131432420 is about 508.4335119831.

Adding to 131432420 its reverse (24234131), we get a palindrome (155666551).

The spelling of 131432420 in words is "one hundred thirty-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 938803 1877606 3755212 4694015 6571621 9388030 13143242 18776060 26286484 32858105 65716210 131432420