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20089344 = 293112941
BaseRepresentation
bin100110010100…
…0101000000000
31101210122101210
41030220220000
520120324334
61554330120
7332520342
oct114505000
941718353
1020089344
1110381470
126889940
134214cb2
14294d292
151b6c5e9
hex1328a00

20089344 has 160 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 5734400.

The previous prime is 20089339. The next prime is 20089367. The reversal of 20089344 is 44398002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489964 + ... + 490004.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 220089344 is an apocalyptic number.

20089344 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 20089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

20089344 is an abundant number, since it is smaller than the sum of its proper divisors (41781696).

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

20089344 is a wasteful number, since it uses less digits than its factorization.

20089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20089344 is about 4482.1137870429. The cubic root of 20089344 is about 271.8453561549.

The spelling of 20089344 in words is "twenty million, eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 41 44 48 58 64 66 82 87 88 96 116 123 128 132 164 174 176 192 232 246 256 264 319 328 348 352 384 451 464 492 512 528 638 656 696 704 768 902 928 957 984 1056 1189 1276 1312 1353 1392 1408 1536 1804 1856 1914 1968 2112 2378 2552 2624 2706 2784 2816 3567 3608 3712 3828 3936 4224 4756 5104 5248 5412 5568 5632 7134 7216 7424 7656 7872 8448 9512 10208 10496 10824 11136 13079 14268 14432 14848 15312 15744 16896 19024 20416 20992 21648 22272 26158 28536 28864 30624 31488 38048 39237 40832 43296 44544 52316 57072 57728 61248 62976 76096 78474 81664 86592 104632 114144 115456 122496 152192 156948 163328 173184 209264 228288 230912 244992 304384 313896 346368 418528 456576 489984 608768 627792 692736 837056 913152 1255584 1674112 1826304 2511168 3348224 5022336 6696448 10044672 20089344