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131327448 = 23372176569
BaseRepresentation
bin1111101001111…
…10010111011000
3100011010010101120
413310332113120
5232104434243
621010445240
73153156600
oct764762730
9304103346
10131327448
116814928a
1237b93820
1321291a65
1413627c00
15b7e1c83
hex7d3e5d8

131327448 has 96 divisors (see below), whose sum is σ = 404449200. Its totient is φ = 35309568.

The previous prime is 131327423. The next prime is 131327453. The reversal of 131327448 is 844723131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16708 + ... + 23276.

Almost surely, 2131327448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131327448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202224600).

131327448 is an abundant number, since it is smaller than the sum of its proper divisors (273121752).

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

131327448 is a wasteful number, since it uses less digits than its factorization.

131327448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6598 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 131327448 is about 11459.8188467358. The cubic root of 131327448 is about 508.2981179463.

The spelling of 131327448 in words is "one hundred thirty-one million, three hundred twenty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6569 6664 9996 13138 19707 19992 26276 39414 45983 52552 78828 91966 111673 137949 157656 183932 223346 275898 321881 335019 367864 446692 551796 643762 670038 781711 893384 965643 1103592 1287524 1340076 1563422 1931286 2345133 2575048 2680152 3126844 3862572 4690266 5471977 6253688 7725144 9380532 10943954 16415931 18761064 21887908 32831862 43775816 65663724 131327448