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20984131 = 753163347
BaseRepresentation
bin101000000001…
…1000101000011
31110111002211001
41100003011003
520332443011
62025432431
7343235140
oct120030503
943432731
1020984131
1110932763
12703b717
13446935c
142b033c7
151c977c1
hex1403143

20984131 has 16 divisors (see below), whose sum is σ = 24655104. Its totient is φ = 17488224.

The previous prime is 20984123. The next prime is 20984141. The reversal of 20984131 is 13148902.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20984131 - 23 = 20984123 is a prime.

It is a super-2 number, since 2×209841312 = 880667507650322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20984131.

It is not an unprimeable number, because it can be changed into a prime (20984141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60300 + ... + 60646.

It is an arithmetic number, because the mean of its divisors is an integer number (1540944).

Almost surely, 220984131 is an apocalyptic number.

20984131 is a deficient number, since it is larger than the sum of its proper divisors (3670973).

20984131 is a wasteful number, since it uses less digits than its factorization.

20984131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 20984131 is about 4580.8439178824. The cubic root of 20984131 is about 275.8229058914.

It can be divided in two parts, 20984 and 131, that added together give a triangular number (21115 = T205).

The spelling of 20984131 in words is "twenty million, nine hundred eighty-four thousand, one hundred thirty-one".

Divisors: 1 7 53 163 347 371 1141 2429 8639 18391 56561 60473 128737 395927 2997733 20984131