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20284131 = 371396949
BaseRepresentation
bin100110101100…
…0001011100011
31102011112121010
41031120023203
520143043011
62002432003
7334261260
oct115301343
942145533
1020284131
11104a484a
126962603
13428285a
1429a0267
151baa1a6
hex13582e3

20284131 has 16 divisors (see below), whose sum is σ = 31136000. Its totient is φ = 11505888.

The previous prime is 20284129. The next prime is 20284151. The reversal of 20284131 is 13148202.

It is not a de Polignac number, because 20284131 - 21 = 20284129 is a prime.

It is a super-2 number, since 2×202841312 = 822891940850322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20284098 and 20284107.

It is not an unprimeable number, because it can be changed into a prime (20284151) 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, 556 + ... + 6393.

It is an arithmetic number, because the mean of its divisors is an integer number (1946000).

Almost surely, 220284131 is an apocalyptic number.

20284131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20284131 is a deficient number, since it is larger than the sum of its proper divisors (10851869).

20284131 is a wasteful number, since it uses less digits than its factorization.

20284131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20284131 is about 4503.7907367017. The cubic root of 20284131 is about 272.7211391247.

The spelling of 20284131 in words is "twenty million, two hundred eighty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 139 417 973 2919 6949 20847 48643 145929 965911 2897733 6761377 20284131