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131753532 = 223109263383
BaseRepresentation
bin1111101101001…
…10011000111100
3100011220202212110
413312212120330
5232212103112
621023534020
73156613041
oct766463074
9304822773
10131753532
116840a419
123815a310
13213b0991
14136d91c8
15b87813c
hex7da663c

131753532 has 48 divisors (see below), whose sum is σ = 312238080. Its totient is φ = 43236288.

The previous prime is 131753521. The next prime is 131753533. The reversal of 131753532 is 235357131.

131753532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131753532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131753533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343813 + ... + 344195.

It is an arithmetic number, because the mean of its divisors is an integer number (6504960).

Almost surely, 2131753532 is an apocalyptic number.

131753532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131753532 is an abundant number, since it is smaller than the sum of its proper divisors (180484548).

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

131753532 is a wasteful number, since it uses less digits than its factorization.

131753532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 760 counting only the distinct ones).

The product of its digits is 9450, while the sum is 30.

The square root of 131753532 is about 11478.3941385544. The cubic root of 131753532 is about 508.8472387265.

The spelling of 131753532 in words is "one hundred thirty-one million, seven hundred fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 109 218 263 327 383 436 526 654 766 789 1052 1149 1308 1532 1578 2298 3156 4596 28667 41747 57334 83494 86001 100729 114668 125241 166988 172002 201458 250482 302187 344004 402916 500964 604374 1208748 10979461 21958922 32938383 43917844 65876766 131753532