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137247309 = 3215249701
BaseRepresentation
bin10000010111000…
…11101001001101
3100120020212220200
420023203221031
5240113403214
621341404113
73254403633
oct1013435115
9316225820
10137247309
1170521a31
1239b69639
1322585434
1414329353
15c0b0d09
hex82e3a4d

137247309 has 6 divisors (see below), whose sum is σ = 198246126. Its totient is φ = 91498200.

The previous prime is 137247293. The next prime is 137247361. The reversal of 137247309 is 903742731.

It can be written as a sum of positive squares in only one way, i.e., 137241225 + 6084 = 11715^2 + 78^2 .

It is not a de Polignac number, because 137247309 - 24 = 137247293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137247109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7624842 + ... + 7624859.

It is an arithmetic number, because the mean of its divisors is an integer number (33041021).

Almost surely, 2137247309 is an apocalyptic number.

It is an amenable number.

137247309 is a deficient number, since it is larger than the sum of its proper divisors (60998817).

137247309 is a wasteful number, since it uses less digits than its factorization.

137247309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15249707 (or 15249704 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 137247309 is about 11715.2596642157. The cubic root of 137247309 is about 515.8236845775.

The spelling of 137247309 in words is "one hundred thirty-seven million, two hundred forty-seven thousand, three hundred nine".

Divisors: 1 3 9 15249701 45749103 137247309