Search a number
-
+
20270784 = 263711487
BaseRepresentation
bin100110101010…
…0111011000000
31102010212021210
41031110323000
520142131114
62002250120
7334204332
oct115247300
942125253
1020270784
1110495816
126956940
134279761
142999452
151ba6259
hex1354ec0

20270784 has 56 divisors (see below), whose sum is σ = 54425088. Its totient is φ = 6657280.

The previous prime is 20270773. The next prime is 20270791. The reversal of 20270784 is 48707202.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12889 + ... + 14375.

Almost surely, 220270784 is an apocalyptic number.

20270784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20270784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27212544).

20270784 is an abundant number, since it is smaller than the sum of its proper divisors (34154304).

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

20270784 is a wasteful number, since it uses less digits than its factorization.

20270784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 20270784 is about 4502.3087410794. The cubic root of 20270784 is about 272.6613089761.

Adding to 20270784 its reverse (48707202), we get a palindrome (68977986).

The spelling of 20270784 in words is "twenty million, two hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1487 1704 2272 2974 3408 4461 4544 5948 6816 8922 11896 13632 17844 23792 35688 47584 71376 95168 105577 142752 211154 285504 316731 422308 633462 844616 1266924 1689232 2533848 3378464 5067696 6756928 10135392 20270784