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131928576 = 293136607
BaseRepresentation
bin1111101110100…
…01001000000000
3100012020122222120
413313101020000
5232233203301
621031404240
73161242263
oct767211000
9305218876
10131928576
116851998a
1238223680
1321442560
1413742cda
15b8aee36
hex7dd1200

131928576 has 80 divisors (see below), whose sum is σ = 378559104. Its totient is φ = 40587264.

The previous prime is 131928553. The next prime is 131928613. The reversal of 131928576 is 675829131.

It is a super-3 number, since 3×1319285763 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16665 + ... + 23271.

Almost surely, 2131928576 is an apocalyptic number.

131928576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131928576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189279552).

131928576 is an abundant number, since it is smaller than the sum of its proper divisors (246630528).

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

131928576 is an equidigital number, since it uses as much as digits as its factorization.

131928576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6625 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 131928576 is about 11486.0165418652. The cubic root of 131928576 is about 509.0724856660.

The spelling of 131928576 in words is "one hundred thirty-one million, nine hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6607 6656 9984 13214 19821 19968 26428 39642 52856 79284 85891 105712 158568 171782 211424 257673 317136 343564 422848 515346 634272 687128 845696 1030692 1268544 1374256 1691392 2061384 2537088 2748512 3382784 4122768 5074176 5497024 8245536 10148352 10994048 16491072 21988096 32982144 43976192 65964288 131928576