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20293020 = 223251137277
BaseRepresentation
bin100110101101…
…0010110011100
31102011222210100
41031122112130
520143334040
62002541100
7334326216
oct115322634
942158710
1020293020
11105004a0
126967790
134286907
1429a35b6
151bacb30
hex135a59c

20293020 has 144 divisors (see below), whose sum is σ = 69215328. Its totient is φ = 4769280.

The previous prime is 20292997. The next prime is 20293067. The reversal of 20293020 is 2039202.

20293020 = 1002 + 1012 + ... + 3952.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20292984 and 20293002.

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 47 ways as a sum of consecutive naturals, for example, 73122 + ... + 73398.

It is an arithmetic number, because the mean of its divisors is an integer number (480662).

Almost surely, 220293020 is an apocalyptic number.

20293020 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 20293020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34607664).

20293020 is an abundant number, since it is smaller than the sum of its proper divisors (48922308).

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

20293020 is a wasteful number, since it uses less digits than its factorization.

20293020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20293020 is about 4504.7774639820. Note that the first 3 decimals coincide. The cubic root of 20293020 is about 272.7609709876.

The spelling of 20293020 in words is "twenty million, two hundred ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 277 330 333 370 396 407 444 495 554 555 660 666 740 814 831 990 1108 1110 1221 1332 1385 1628 1662 1665 1980 2035 2220 2442 2493 2770 3047 3324 3330 3663 4070 4155 4884 4986 5540 6094 6105 6660 7326 8140 8310 9141 9972 10249 12188 12210 12465 14652 15235 16620 18282 18315 20498 24420 24930 27423 30470 30747 36564 36630 40996 45705 49860 51245 54846 60940 61494 73260 91410 92241 102490 109692 112739 122988 137115 153735 182820 184482 204980 225478 274230 307470 338217 368964 450956 461205 548460 563695 614940 676434 922410 1014651 1127390 1352868 1691085 1844820 2029302 2254780 3382170 4058604 5073255 6764340 10146510 20293020