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131431552 = 277473121
BaseRepresentation
bin1111101010101…
…11110010000000
3100011022102012021
413311113302000
5232121302202
621013011224
73154102240
oct765276200
9304272167
10131431552
116820a51a
1238023b14
13212ca265
1413653b20
15b812a37
hex7d57c80

131431552 has 64 divisors (see below), whose sum is σ = 305706240. Its totient is φ = 55111680.

The previous prime is 131431523. The next prime is 131431633. The reversal of 131431552 is 255134131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1314315522 = 34548505722257408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40552 + ... + 43672.

It is an arithmetic number, because the mean of its divisors is an integer number (4776660).

Almost surely, 2131431552 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 131431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152853120).

131431552 is an abundant number, since it is smaller than the sum of its proper divisors (174274688).

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

131431552 is an equidigital number, since it uses as much as digits as its factorization.

131431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3177 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 131431552 is about 11464.3600780855. The cubic root of 131431552 is about 508.4323927228.

Adding to 131431552 its reverse (255134131), we get a palindrome (386565683).

The spelling of 131431552 in words is "one hundred thirty-one million, four hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 658 752 896 1316 1504 2632 3008 3121 5264 6016 6242 10528 12484 21056 21847 24968 42112 43694 49936 87388 99872 146687 174776 199744 293374 349552 399488 586748 699104 1026809 1173496 1398208 2053618 2346992 2796416 4107236 4693984 8214472 9387968 16428944 18775936 32857888 65715776 131431552