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20542336 = 27312167
BaseRepresentation
bin100111001011…
…1001110000000
31102122122210021
41032113032000
520224323321
62012143224
7336415123
oct116271600
942578707
1020542336
1110660841
126a67b14
134343239
142a2a3ba
151c0b941
hex1397380

20542336 has 48 divisors (see below), whose sum is σ = 42540120. Its totient is φ = 9880320.

The previous prime is 20542331. The next prime is 20542343. The reversal of 20542336 is 63324502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20542336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20542331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122925 + ... + 123091.

Almost surely, 220542336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21270060).

20542336 is an abundant number, since it is smaller than the sum of its proper divisors (21997784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20542336 is an equidigital number, since it uses as much as digits as its factorization.

20542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 20542336 is about 4532.3653868593. The cubic root of 20542336 is about 273.8734564047.

Adding to 20542336 its reverse (63324502), we get a palindrome (83866838).

The spelling of 20542336 in words is "twenty million, five hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 167 248 334 496 668 961 992 1336 1922 1984 2672 3844 3968 5177 5344 7688 10354 10688 15376 20708 21376 30752 41416 61504 82832 123008 160487 165664 320974 331328 641948 662656 1283896 2567792 5135584 10271168 20542336