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20242971 = 3271741461
BaseRepresentation
bin100110100111…
…0001000011011
31102002110010200
41031032020123
520140233341
62001513243
7334030260
oct115161033
942073120
1020242971
1110476931
126942823
134269bb8
14298d267
151b9cdb6
hex134e21b

20242971 has 48 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 10598400.

The previous prime is 20242951. The next prime is 20242993. The reversal of 20242971 is 17924202.

It is not a de Polignac number, because 20242971 - 29 = 20242459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20242951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43681 + ... + 44141.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 220242971 is an apocalyptic number.

20242971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20242971 is a deficient number, since it is larger than the sum of its proper divisors (16081317).

20242971 is a wasteful number, since it uses less digits than its factorization.

20242971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20242971 is about 4499.2189322148. The cubic root of 20242971 is about 272.5365481378.

It can be divided in two parts, 202429 and 71, that added together give a square (202500 = 4502).

The spelling of 20242971 in words is "twenty million, two hundred forty-two thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 17 21 41 51 63 119 123 153 287 357 369 461 697 861 1071 1383 2091 2583 3227 4149 4879 6273 7837 9681 14637 18901 23511 29043 43911 54859 56703 70533 132307 164577 170109 321317 396921 493731 963951 1190763 2249219 2891853 6747657 20242971