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131530440 = 23354723321
BaseRepresentation
bin1111101011011…
…11111011001000
3100011111102211210
413311233323020
5232132433230
621015053120
73154663446
oct765577310
9304442753
10131530440
1168277848
12380711a0
1321333282
141367bb96
15b831eb0
hex7d6fec8

131530440 has 64 divisors (see below), whose sum is σ = 403004160. Its totient is φ = 34327040.

The previous prime is 131530439. The next prime is 131530459. The reversal of 131530440 is 44035131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6021 + ... + 17300.

It is an arithmetic number, because the mean of its divisors is an integer number (6296940).

Almost surely, 2131530440 is an apocalyptic number.

131530440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131530440 is an abundant number, since it is smaller than the sum of its proper divisors (271473720).

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

131530440 is a wasteful number, since it uses less digits than its factorization.

131530440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23382 (or 23378 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131530440 is about 11468.6721114521. The cubic root of 131530440 is about 508.5598741822.

Adding to 131530440 its reverse (44035131), we get a palindrome (175565571).

The spelling of 131530440 in words is "one hundred thirty-one million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 23321 46642 69963 93284 116605 139926 186568 233210 279852 349815 466420 559704 699630 932840 1096087 1399260 2192174 2798520 3288261 4384348 5480435 6576522 8768696 10960870 13153044 16441305 21921740 26306088 32882610 43843480 65765220 131530440