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131289390 = 23353791283
BaseRepresentation
bin1111101001101…
…01000100101110
3100011001012012000
413310311010232
5232102230030
621005553130
73152640621
oct764650456
9304035160
10131289390
1168122731
1237b757a6
132127a63b
1413617db8
15b7d5860
hex7d3512e

131289390 has 64 divisors (see below), whose sum is σ = 351302400. Its totient is φ = 34890912.

The previous prime is 131289349. The next prime is 131289391. The reversal of 131289390 is 93982131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131289391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101689 + ... + 102971.

It is an arithmetic number, because the mean of its divisors is an integer number (5489100).

Almost surely, 2131289390 is an apocalyptic number.

131289390 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 131289390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175651200).

131289390 is an abundant number, since it is smaller than the sum of its proper divisors (220013010).

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

131289390 is a wasteful number, since it uses less digits than its factorization.

131289390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 131289390 is about 11458.1582289651. The cubic root of 131289390 is about 508.2490125002.

The spelling of 131289390 in words is "one hundred thirty-one million, two hundred eighty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 379 758 1137 1283 1895 2274 2566 3411 3790 3849 5685 6415 6822 7698 10233 11370 11547 12830 17055 19245 20466 23094 34110 34641 38490 51165 57735 69282 102330 115470 173205 346410 486257 972514 1458771 2431285 2917542 4376313 4862570 7293855 8752626 13128939 14587710 21881565 26257878 43763130 65644695 131289390