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20283840 = 263257043
BaseRepresentation
bin100110101100…
…0000111000000
31102011112012100
41031120013000
520143040330
62002430400
7334260363
oct115300700
942145170
1020283840
11104a4605
126962400
134282695
1429a00da
151baa060
hex13581c0

20283840 has 84 divisors (see below), whose sum is σ = 69777864. Its totient is φ = 5408256.

The previous prime is 20283821. The next prime is 20283841. The reversal of 20283840 is 4838202.

It is a super-2 number, since 2×202838402 = 822868330291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20283841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642 + ... + 6401.

Almost surely, 220283840 is an apocalyptic number.

20283840 is a gapful number since it is divisible by the number (20) 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 20283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34888932).

20283840 is an abundant number, since it is smaller than the sum of its proper divisors (49494024).

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

20283840 is a wasteful number, since it uses less digits than its factorization.

20283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20283840 is about 4503.7584304667. The cubic root of 20283840 is about 272.7198349487.

The spelling of 20283840 in words is "twenty million, two hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7043 14086 21129 28172 35215 42258 56344 63387 70430 84516 105645 112688 126774 140860 169032 211290 225376 253548 281720 316935 338064 422580 450752 507096 563440 633870 676128 845160 1014192 1126880 1267740 1352256 1690320 2028384 2253760 2535480 3380640 4056768 5070960 6761280 10141920 20283840