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137270 = 2573753
BaseRepresentation
bin100001100000110110
320222022002
4201200312
513343040
62535302
71111130
oct414066
9228262
10137270
1194151
1267532
134a633
1438050
152aa15
hex21836

137270 has 32 divisors (see below), whose sum is σ = 295488. Its totient is φ = 44928.

The previous prime is 137251. The next prime is 137273. The reversal of 137270 is 72731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137273) by changing a digit.

137270 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2564 + ... + 2616.

It is an arithmetic number, because the mean of its divisors is an integer number (9234).

2137270 is an apocalyptic number.

137270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 370×371.

137270 is an abundant number, since it is smaller than the sum of its proper divisors (158218).

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

137270 is a wasteful number, since it uses less digits than its factorization.

137270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 137270 is about 370.4996626179. The cubic root of 137270 is about 51.5852109932.

The spelling of 137270 in words is "one hundred thirty-seven thousand, two hundred seventy".

Divisors: 1 2 5 7 10 14 35 37 53 70 74 106 185 259 265 370 371 518 530 742 1295 1855 1961 2590 3710 3922 9805 13727 19610 27454 68635 137270