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131452620 = 2235131271327
BaseRepresentation
bin1111101010111…
…00111011001100
3100011100111002120
413311130323030
5232122440440
621013252540
73154220535
oct765347314
9304314076
10131452620
1168224332
1238034150
1321306a20
141365b68c
15b818dd0
hex7d5cecc

131452620 has 96 divisors (see below), whose sum is σ = 399802368. Its totient is φ = 32078592.

The previous prime is 131452589. The next prime is 131452627. The reversal of 131452620 is 26254131.

It is not an unprimeable number, because it can be changed into a prime (131452627) 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, 98397 + ... + 99723.

It is an arithmetic number, because the mean of its divisors is an integer number (4164608).

Almost surely, 2131452620 is an apocalyptic number.

131452620 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 131452620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199901184).

131452620 is an abundant number, since it is smaller than the sum of its proper divisors (268349748).

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

131452620 is a wasteful number, since it uses less digits than its factorization.

131452620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 131452620 is about 11465.2788888888. The cubic root of 131452620 is about 508.4595578928.

The spelling of 131452620 in words is "one hundred thirty-one million, four hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1270 1327 1524 1651 1905 2540 2654 3302 3810 3981 4953 5308 6604 6635 7620 7962 8255 9906 13270 15924 16510 17251 19812 19905 24765 26540 33020 34502 39810 49530 51753 69004 79620 86255 99060 103506 168529 172510 207012 258765 337058 345020 505587 517530 674116 842645 1011174 1035060 1685290 2022348 2190877 2527935 3370580 4381754 5055870 6572631 8763508 10111740 10954385 13145262 21908770 26290524 32863155 43817540 65726310 131452620