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20246864 = 24111767101
BaseRepresentation
bin100110100111…
…1000101010000
31102002122110212
41031033011100
520140344424
62001543252
7334044521
oct115170520
942078425
1020246864
1110479850
126944b28
13426b8c1
142990848
151b9e10e
hex134f150

20246864 has 80 divisors (see below), whose sum is σ = 46443456. Its totient is φ = 8448000.

The previous prime is 20246833. The next prime is 20246867. The reversal of 20246864 is 46864202.

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 20246864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20246867) 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 15 ways as a sum of consecutive naturals, for example, 200414 + ... + 200514.

Almost surely, 220246864 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 20246864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23221728).

20246864 is an abundant number, since it is smaller than the sum of its proper divisors (26196592).

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

20246864 is a wasteful number, since it uses less digits than its factorization.

20246864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 20246864 is about 4499.6515420641. The cubic root of 20246864 is about 272.5540178523.

It can be divided in two parts, 2024 and 6864, that added together give a palindrome (8888).

The spelling of 20246864 in words is "twenty million, two hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 67 68 88 101 134 136 176 187 202 268 272 374 404 536 737 748 808 1072 1111 1139 1474 1496 1616 1717 2222 2278 2948 2992 3434 4444 4556 5896 6767 6868 8888 9112 11792 12529 13534 13736 17776 18224 18887 25058 27068 27472 37774 50116 54136 74437 75548 100232 108272 115039 148874 151096 200464 230078 297748 302192 460156 595496 920312 1190992 1265429 1840624 2530858 5061716 10123432 20246864