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131140380 = 223571718367
BaseRepresentation
bin1111101000100…
…00101100011100
3100010202121210010
413310100230130
5232032443010
621002443220
73151450320
oct764205434
9303677703
10131140380
1168030788
1237b03510
1321227877
14135b9980
15b7a6620
hex7d10b1c

131140380 has 96 divisors (see below), whose sum is σ = 444358656. Its totient is φ = 28210176.

The previous prime is 131140333. The next prime is 131140393. The reversal of 131140380 is 83041131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2044 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (4628736).

Almost surely, 2131140380 is an apocalyptic number.

131140380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131140380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222179328).

131140380 is an abundant number, since it is smaller than the sum of its proper divisors (313218276).

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

131140380 is a wasteful number, since it uses less digits than its factorization.

131140380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18403 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131140380 is about 11451.6540290038. The cubic root of 131140380 is about 508.0566566276.

The spelling of 131140380 in words is "one hundred thirty-one million, one hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 18367 36734 55101 73468 91835 110202 128569 183670 220404 257138 275505 312239 367340 385707 514276 551010 624478 642845 771414 936717 1102020 1248956 1285690 1542828 1561195 1873434 1928535 2185673 2571380 3122390 3746868 3857070 4371346 4683585 6244780 6557019 7714140 8742692 9367170 10928365 13114038 18734340 21856730 26228076 32785095 43713460 65570190 131140380