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20274744 = 23371731229
BaseRepresentation
bin100110101010…
…1111000111000
31102011001201110
41031111320320
520142242434
62002320320
7334222020
oct115257070
942131643
1020274744
1110498796
1269590a0
13427b4b9
14299aa80
151ba74e9
hex1355e38

20274744 has 128 divisors (see below), whose sum is σ = 63590400. Its totient is φ = 5253120.

The previous prime is 20274733. The next prime is 20274769. The reversal of 20274744 is 44747202.

It is a super-2 number, since 2×202747442 = 822130488531072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88422 + ... + 88650.

It is an arithmetic number, because the mean of its divisors is an integer number (496800).

Almost surely, 220274744 is an apocalyptic number.

20274744 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 20274744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795200).

20274744 is an abundant number, since it is smaller than the sum of its proper divisors (43315656).

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

20274744 is a wasteful number, since it uses less digits than its factorization.

20274744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 20274744 is about 4502.7484939757. The cubic root of 20274744 is about 272.6790630745.

The spelling of 20274744 in words is "twenty million, two hundred seventy-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 51 56 62 68 84 93 102 119 124 136 168 186 204 217 229 238 248 357 372 408 434 458 476 527 651 687 714 744 868 916 952 1054 1302 1374 1428 1581 1603 1736 1832 2108 2604 2748 2856 3162 3206 3689 3893 4216 4809 5208 5496 6324 6412 7099 7378 7786 9618 11067 11679 12648 12824 14198 14756 15572 19236 21297 22134 23358 27251 28396 29512 31144 38472 42594 44268 46716 49693 54502 56792 81753 85188 88536 93432 99386 109004 120683 149079 163506 170376 198772 218008 241366 298158 327012 362049 397544 482732 596316 654024 724098 844781 965464 1192632 1448196 1689562 2534343 2896392 3379124 5068686 6758248 10137372 20274744