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131832274 = 27233147281
BaseRepresentation
bin1111101101110…
…01100111010010
3100012001202212211
413312321213102
5232222113044
621025342334
73160361440
oct766714722
9305052784
10131832274
11684635a2
12381979aa
132140a782
1413719b90
15b891634
hex7db99d2

131832274 has 64 divisors (see below), whose sum is σ = 249495552. Its totient is φ = 51004800.

The previous prime is 131832271. The next prime is 131832301. The reversal of 131832274 is 472238131.

131832274 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1318322742 = 34759496936022152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (131832271) 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, 469014 + ... + 469294.

It is an arithmetic number, because the mean of its divisors is an integer number (3898368).

Almost surely, 2131832274 is an apocalyptic number.

131832274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131832274 is a deficient number, since it is larger than the sum of its proper divisors (117663278).

131832274 is a wasteful number, since it uses less digits than its factorization.

131832274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 8064, while the sum is 31.

The square root of 131832274 is about 11481.8236356426. The cubic root of 131832274 is about 508.9485887478.

The spelling of 131832274 in words is "one hundred thirty-one million, eight hundred thirty-two thousand, two hundred seventy-four".

Divisors: 1 2 7 14 23 31 46 47 62 94 161 217 281 322 329 434 562 658 713 1081 1426 1457 1967 2162 2914 3934 4991 6463 7567 8711 9982 10199 12926 13207 15134 17422 20398 26414 33511 45241 60977 67022 90482 92449 121954 184898 200353 234577 303761 400706 409417 469154 607522 818834 1402471 2126327 2804942 2865919 4252654 5731838 9416591 18833182 65916137 131832274