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20137271 = 711261523
BaseRepresentation
bin100110011010…
…0010100110111
31101220002010212
41030310110313
520123343041
61555340035
7333110150
oct114642467
941802125
1020137271
1110404480
1268b161b
134230a5b
142962927
151b7b8eb
hex1334537

20137271 has 8 divisors (see below), whose sum is σ = 25106304. Its totient is φ = 15691320.

The previous prime is 20137253. The next prime is 20137289. The reversal of 20137271 is 17273102.

It is an interprime number because it is at equal distance from previous prime (20137253) and next prime (20137289).

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 20137271 - 214 = 20120887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20137241) 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 7 ways as a sum of consecutive naturals, for example, 130685 + ... + 130838.

It is an arithmetic number, because the mean of its divisors is an integer number (3138288).

Almost surely, 220137271 is an apocalyptic number.

20137271 is a deficient number, since it is larger than the sum of its proper divisors (4969033).

20137271 is a wasteful number, since it uses less digits than its factorization.

20137271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261541.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 20137271 is about 4487.4570750036. The cubic root of 20137271 is about 272.0613642907.

The spelling of 20137271 in words is "twenty million, one hundred thirty-seven thousand, two hundred seventy-one".

Divisors: 1 7 11 77 261523 1830661 2876753 20137271