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131714288 = 2429319157
BaseRepresentation
bin1111101100111…
…00110011110000
3100011211210000222
413312130303300
5232204324123
621023032212
73156360446
oct766346360
9304753028
10131714288
1168392992
123813b668
1321398b64
14136c8b96
15b86b6c8
hex7d9ccf0

131714288 has 40 divisors (see below), whose sum is σ = 272542080. Its totient is φ = 61528320.

The previous prime is 131714287. The next prime is 131714293. The reversal of 131714288 is 882417131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131714287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9806 + ... + 18962.

It is an arithmetic number, because the mean of its divisors is an integer number (6813552).

Almost surely, 2131714288 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 131714288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136271040).

131714288 is an abundant number, since it is smaller than the sum of its proper divisors (140827792).

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

131714288 is a wasteful number, since it uses less digits than its factorization.

131714288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9225 (or 9219 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The square root of 131714288 is about 11476.6845386636. The cubic root of 131714288 is about 508.7967121012.

The spelling of 131714288 in words is "one hundred thirty-one million, seven hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 9157 14384 18314 36628 73256 146512 265553 283867 531106 567734 1062212 1135468 2124424 2270936 4248848 4541872 8232143 16464286 32928572 65857144 131714288