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131411980 = 225719127389
BaseRepresentation
bin1111101010100…
…11000000001100
3100011021102100101
413311103000030
5232120140410
621012340444
73153661210
oct765230014
9304242311
10131411980
11681a6847
1238014724
13212c138b
141364a940
15b80bd3a
hex7d5300c

131411980 has 96 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 42239232.

The previous prime is 131411977. The next prime is 131411981. The reversal of 131411980 is 89114131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (131411981) 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, 337626 + ... + 338014.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2131411980 is an apocalyptic number.

131411980 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 131411980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

131411980 is an abundant number, since it is smaller than the sum of its proper divisors (204050420).

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

131411980 is a wasteful number, since it uses less digits than its factorization.

131411980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 131411980 is about 11463.5064443651. The cubic root of 131411980 is about 508.4071539004.

The spelling of 131411980 in words is "one hundred thirty-one million, four hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 127 133 140 190 254 266 380 389 508 532 635 665 778 889 1270 1330 1556 1778 1945 2413 2540 2660 2723 3556 3890 4445 4826 5446 7391 7780 8890 9652 10892 12065 13615 14782 16891 17780 24130 27230 29564 33782 36955 48260 49403 51737 54460 67564 73910 84455 98806 103474 147820 168910 197612 206948 247015 258685 337820 345821 494030 517370 691642 938657 988060 1034740 1383284 1729105 1877314 3458210 3754628 4693285 6570599 6916420 9386570 13141198 18773140 26282396 32852995 65705990 131411980