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131755190 = 2573076131
BaseRepresentation
bin1111101101001…
…10110010110110
3100011220212010212
413312212302312
5232212131230
621023545422
73156620630
oct766466266
9304825125
10131755190
1168410696
123815b272
13213b1668
14136d9a50
15b878895
hex7da6cb6

131755190 has 32 divisors (see below), whose sum is σ = 271966464. Its totient is φ = 45018720.

The previous prime is 131755189. The next prime is 131755193. The reversal of 131755190 is 91557131.

It is a happy number.

131755190 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 2×1317551902 = 34718860183872200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131755193) 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 15 ways as a sum of consecutive naturals, for example, 18425 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (8498952).

Almost surely, 2131755190 is an apocalyptic number.

131755190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131755190 is an abundant number, since it is smaller than the sum of its proper divisors (140211274).

131755190 is a wasteful number, since it uses less digits than its factorization.

131755190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452.

The product of its (nonzero) digits is 4725, while the sum is 32.

The square root of 131755190 is about 11478.4663609735. The cubic root of 131755190 is about 508.8493731795.

The spelling of 131755190 in words is "one hundred thirty-one million, seven hundred fifty-five thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 307 614 1535 2149 3070 4298 6131 10745 12262 21490 30655 42917 61310 85834 214585 429170 1882217 3764434 9411085 13175519 18822170 26351038 65877595 131755190