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20268304 = 247376773
BaseRepresentation
bin100110101010…
…0010100010000
31102010201212221
41031110110100
520142041204
62002230424
7334164160
oct115242420
942121787
1020268304
1110493971
126955414
1342785a4
1429985a0
151ba5654
hex1354510

20268304 has 80 divisors (see below), whose sum is σ = 47421568. Its totient is φ = 8211456.

The previous prime is 20268293. The next prime is 20268317. The reversal of 20268304 is 40386202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277612 + ... + 277684.

Almost surely, 220268304 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 20268304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710784).

20268304 is an abundant number, since it is smaller than the sum of its proper divisors (27153264).

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

20268304 is a wasteful number, since it uses less digits than its factorization.

20268304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 20268304 is about 4502.0333184018. The cubic root of 20268304 is about 272.6501890703.

It can be divided in two parts, 20 and 268304, that added together give a square (268324 = 5182).

The spelling of 20268304 in words is "twenty million, two hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 37 56 67 73 74 112 134 146 148 259 268 292 296 469 511 518 536 584 592 938 1022 1036 1072 1168 1876 2044 2072 2479 2701 3752 4088 4144 4891 4958 5402 7504 8176 9782 9916 10804 17353 18907 19564 19832 21608 34237 34706 37814 39128 39664 43216 68474 69412 75628 78256 136948 138824 151256 180967 273896 277648 302512 361934 547792 723868 1266769 1447736 2533538 2895472 5067076 10134152 20268304