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131875830 = 23351094481
BaseRepresentation
bin1111101110001…
…00001111110110
3100012010222122000
413313010033312
5232230011310
621030320130
73160632432
oct767041766
9305128560
10131875830
1168493299
12381b9046
1321424548
141372b9c2
15b89e4c0
hex7dc43f6

131875830 has 64 divisors (see below), whose sum is σ = 354974400. Its totient is φ = 34836480.

The previous prime is 131875823. The next prime is 131875831. The reversal of 131875830 is 38578131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131875831) 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, 27190 + ... + 31670.

It is an arithmetic number, because the mean of its divisors is an integer number (5546475).

Almost surely, 2131875830 is an apocalyptic number.

131875830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131875830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177487200).

131875830 is an abundant number, since it is smaller than the sum of its proper divisors (223098570).

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

131875830 is a wasteful number, since it uses less digits than its factorization.

131875830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 131875830 is about 11483.7202160276. The cubic root of 131875830 is about 509.0046330005.

The spelling of 131875830 in words is "one hundred thirty-one million, eight hundred seventy-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4481 4905 5886 8962 9810 13443 14715 22405 26886 29430 40329 44810 67215 80658 120987 134430 201645 241974 403290 488429 604935 976858 1209870 1465287 2442145 2930574 4395861 4884290 7326435 8791722 13187583 14652870 21979305 26375166 43958610 65937915 131875830