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126130077 = 3229372353
BaseRepresentation
bin1111000010010…
…01011110011101
322210100001221100
413201021132131
5224242130302
620303223313
73061042113
oct741113635
9283301840
10126130077
1165219437
12362a7b39
13201921a8
1412a73ab3
15b116d1c
hex784979d

126130077 has 36 divisors (see below), whose sum is σ = 194250420. Its totient is φ = 78769152.

The previous prime is 126130073. The next prime is 126130079. The reversal of 126130077 is 770031621.

It can be written as a sum of positive squares in 6 ways, for example, as 20985561 + 105144516 = 4581^2 + 10254^2 .

It is not a de Polignac number, because 126130077 - 22 = 126130073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126130077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126130073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357133 + ... + 357485.

It is an arithmetic number, because the mean of its divisors is an integer number (5395845).

Almost surely, 2126130077 is an apocalyptic number.

It is an amenable number.

126130077 is a deficient number, since it is larger than the sum of its proper divisors (68120343).

126130077 is a wasteful number, since it uses less digits than its factorization.

126130077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 126130077 is about 11230.7647557947. The cubic root of 126130077 is about 501.5022512951.

Adding to 126130077 its reverse (770031621), we get a palindrome (896161698).

The spelling of 126130077 in words is "one hundred twenty-six million, one hundred thirty thousand, seventy-seven".

Divisors: 1 3 9 29 37 87 111 261 333 353 1059 1073 1369 3177 3219 4107 9657 10237 12321 13061 30711 39183 39701 92133 117549 119103 357309 378769 483257 1136307 1449771 3408921 4349313 14014453 42043359 126130077