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137279293 = 1133733257
BaseRepresentation
bin10000010111010…
…11011100111101
3100120022111210021
420023223130331
5240120414133
621342212141
73254566114
oct1013533475
9316274707
10137279293
1170543a68
1239b84051
1322596b68
1414336c7b
15c0ba52d
hex82eb73d

137279293 has 8 divisors (see below), whose sum is σ = 138908088. Its totient is φ = 135657984.

The previous prime is 137279279. The next prime is 137279299. The reversal of 137279293 is 392972731.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 126270169 = 3318^2 + 11237^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137279293 - 225 = 103724861 is a prime.

It is a super-3 number, since 3×1372792933 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137279299) 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, 40521 + ... + 43777.

It is an arithmetic number, because the mean of its divisors is an integer number (17363511).

Almost surely, 2137279293 is an apocalyptic number.

It is an amenable number.

137279293 is a deficient number, since it is larger than the sum of its proper divisors (1628795).

137279293 is a wasteful number, since it uses less digits than its factorization.

137279293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743.

The product of its digits is 142884, while the sum is 43.

The square root of 137279293 is about 11716.6246419351. The cubic root of 137279293 is about 515.8637505078.

The spelling of 137279293 in words is "one hundred thirty-seven million, two hundred seventy-nine thousand, two hundred ninety-three".

Divisors: 1 113 373 3257 42149 368041 1214861 137279293