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20542431 = 3713471601
BaseRepresentation
bin100111001011…
…1001111011111
31102122122220210
41032113033133
520224324211
62012143503
7336415320
oct116271737
942578823
1020542431
1110660918
126a67b93
1343432b0
142a2a447
151c0b9a6
hex13973df

20542431 has 32 divisors (see below), whose sum is σ = 34449408. Its totient is φ = 10598400.

The previous prime is 20542399. The next prime is 20542447. The reversal of 20542431 is 13424502.

It is not a de Polignac number, because 20542431 - 25 = 20542399 is a prime.

It is a super-2 number, since 2×205424312 = 843982942779522, 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 = 20542398 and 20542407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20542451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12031 + ... + 13631.

It is an arithmetic number, because the mean of its divisors is an integer number (1076544).

Almost surely, 220542431 is an apocalyptic number.

20542431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20542431 is a deficient number, since it is larger than the sum of its proper divisors (13906977).

20542431 is a wasteful number, since it uses less digits than its factorization.

20542431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20542431 is about 4532.3758670260. The cubic root of 20542431 is about 273.8738785887.

Adding to 20542431 its reverse (13424502), we get a palindrome (33966933).

The spelling of 20542431 in words is "twenty million, five hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 47 91 141 273 329 611 987 1601 1833 4277 4803 11207 12831 20813 33621 62439 75247 145691 225741 437073 526729 978211 1580187 2934633 6847477 20542431