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131806766 = 27213307337
BaseRepresentation
bin1111101101100…
…11011000101110
3100012000110220002
413312303120232
5232220304031
621025024302
73160224200
oct766633056
9305013802
10131806766
1168446413
1238185092
13213cbc90
1413710770
15b888ccb
hex7db362e

131806766 has 48 divisors (see below), whose sum is σ = 249224976. Its totient is φ = 51819264.

The previous prime is 131806757. The next prime is 131806771. The reversal of 131806766 is 667608131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390950 + ... + 391286.

It is an arithmetic number, because the mean of its divisors is an integer number (5192187).

Almost surely, 2131806766 is an apocalyptic number.

131806766 is a deficient number, since it is larger than the sum of its proper divisors (117418210).

131806766 is a wasteful number, since it uses less digits than its factorization.

131806766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 131806766 is about 11480.7127827500. The cubic root of 131806766 is about 508.9157614347.

The spelling of 131806766 in words is "one hundred thirty-one million, eight hundred six thousand, seven hundred sixty-six".

Divisors: 1 2 7 13 14 26 49 91 98 182 307 337 614 637 674 1274 2149 2359 3991 4298 4381 4718 7982 8762 15043 16513 27937 30086 30667 33026 55874 61334 103459 195559 206918 214669 391118 429338 724213 1344967 1448426 2689934 5069491 9414769 10138982 18829538 65903383 131806766