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131644928 = 292231153
BaseRepresentation
bin1111101100010…
…11111000000000
3100011201020220002
413312023320000
5232200114203
621021335132
73155651312
oct766137000
9304636802
10131644928
1168345868
12381074a8
132137340c
14136ab7b2
15b855d88
hex7d8be00

131644928 has 40 divisors (see below), whose sum is σ = 264441408. Its totient is φ = 65470464.

The previous prime is 131644921. The next prime is 131644969. The reversal of 131644928 is 829446131.

It is a junction number, because it is equal to n+sod(n) for n = 131644891 and 131644900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131644921) 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 3 ways as a sum of consecutive naturals, for example, 113600 + ... + 114752.

Almost surely, 2131644928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132220704).

131644928 is an abundant number, since it is smaller than the sum of its proper divisors (132796480).

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

131644928 is an equidigital number, since it uses as much as digits as its factorization.

131644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1378 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 131644928 is about 11473.6623621231. The cubic root of 131644928 is about 508.7073865951.

The spelling of 131644928 in words is "one hundred thirty-one million, six hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 512 892 1153 1784 2306 3568 4612 7136 9224 14272 18448 28544 36896 57088 73792 114176 147584 257119 295168 514238 590336 1028476 2056952 4113904 8227808 16455616 32911232 65822464 131644928