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126680157 = 3297145109
BaseRepresentation
bin1111000110011…
…11110001011101
322211101000111200
413203033301131
5224412231112
620323110113
73065522622
oct743176135
9284330450
10126680157
116556474a
1236512339
1320325696
1412b78349
15b1c4cdc
hex78cfc5d

126680157 has 12 divisors (see below), whose sum is σ = 184870140. Its totient is φ = 83582208.

The previous prime is 126680153. The next prime is 126680171. The reversal of 126680157 is 751086621.

It can be written as a sum of positive squares in 2 ways, for example, as 23677956 + 103002201 = 4866^2 + 10149^2 .

It is not a de Polignac number, because 126680157 - 22 = 126680153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126680153) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71682 + ... + 73427.

It is an arithmetic number, because the mean of its divisors is an integer number (15405845).

Almost surely, 2126680157 is an apocalyptic number.

It is an amenable number.

126680157 is a deficient number, since it is larger than the sum of its proper divisors (58189983).

126680157 is a wasteful number, since it uses less digits than its factorization.

126680157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145212 (or 145209 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 126680157 is about 11255.2279852520. The cubic root of 126680157 is about 502.2302465431.

The spelling of 126680157 in words is "one hundred twenty-six million, six hundred eighty thousand, one hundred fifty-seven".

Divisors: 1 3 9 97 291 873 145109 435327 1305981 14075573 42226719 126680157