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126291130 = 25721715161
BaseRepresentation
bin1111000011100…
…00110010111010
322210122020212021
413201300302322
5224312304010
620310505054
73062312500
oct741606272
9283566767
10126291130
1165319439
123636518a
132021a5a4
1412ab6670
15b1498da
hex7870cba

126291130 has 48 divisors (see below), whose sum is σ = 280011816. Its totient is φ = 40750080.

The previous prime is 126291073. The next prime is 126291131. The reversal of 126291130 is 31192621.

It can be written as a sum of positive squares in 4 ways, for example, as 116057529 + 10233601 = 10773^2 + 3199^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126291095 and 126291104.

It is not an unprimeable number, because it can be changed into a prime (126291131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750 + ... + 15910.

Almost surely, 2126291130 is an apocalyptic number.

126291130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126291130 is an abundant number, since it is smaller than the sum of its proper divisors (153720686).

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

126291130 is a wasteful number, since it uses less digits than its factorization.

126291130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15199 (or 15192 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 126291130 is about 11237.9326390578. The cubic root of 126291130 is about 501.7156132760.

The spelling of 126291130 in words is "one hundred twenty-six million, two hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 8330 15161 30322 75805 106127 151610 212254 257737 515474 530635 742889 1061270 1288685 1485778 1804159 2577370 3608318 3714445 7428890 9020795 12629113 18041590 25258226 63145565 126291130