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131640446 = 2731535997
BaseRepresentation
bin1111101100010…
…10110001111110
3100011201000202002
413312022301332
5232144443241
621021302302
73155632250
oct766126176
9304630662
10131640446
1168342463
1238104992
1321371372
14136a9cd0
15b85489b
hex7d8ac7e

131640446 has 64 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 52116480.

The previous prime is 131640437. The next prime is 131640449. The reversal of 131640446 is 644046131.

It is a super-3 number, since 3×1316404463 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131640449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1357070 + ... + 1357166.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2131640446 is an apocalyptic number.

131640446 is a deficient number, since it is larger than the sum of its proper divisors (112214914).

131640446 is a wasteful number, since it uses less digits than its factorization.

131640446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 131640446 is about 11473.4670435749. The cubic root of 131640446 is about 508.7016133574.

Adding to 131640446 its reverse (644046131), we get a palindrome (775686577).

The spelling of 131640446 in words is "one hundred thirty-one million, six hundred forty thousand, four hundred forty-six".

Divisors: 1 2 7 14 31 53 59 62 97 106 118 194 217 371 413 434 679 742 826 1358 1643 1829 3007 3127 3286 3658 5141 5723 6014 6254 10282 11446 11501 12803 21049 21889 23002 25606 35987 40061 42098 43778 71974 80122 96937 159371 177413 193874 303319 318742 354826 606638 678559 1115597 1241891 1357118 2123233 2231194 2483782 4246466 9402889 18805778 65820223 131640446