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20522040 = 23357112221
BaseRepresentation
bin100111001001…
…0010000111000
31102121121221120
41032102100320
520223201130
62011505240
7336302010
oct116222070
942547846
1020522040
1110647570
126a58220
134336c26
142a22c40
151c05910
hex1392438

20522040 has 128 divisors (see below), whose sum is σ = 76792320. Its totient is φ = 4262400.

The previous prime is 20522039. The next prime is 20522041. The reversal of 20522040 is 4022502.

It is an interprime number because it is at equal distance from previous prime (20522039) and next prime (20522041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20522041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8130 + ... + 10350.

It is an arithmetic number, because the mean of its divisors is an integer number (599940).

Almost surely, 220522040 is an apocalyptic number.

20522040 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 20522040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38396160).

20522040 is an abundant number, since it is smaller than the sum of its proper divisors (56270280).

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

20522040 is a wasteful number, since it uses less digits than its factorization.

20522040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 20522040 is about 4530.1258260671. The cubic root of 20522040 is about 273.7832302606.

Adding to 20522040 its reverse (4022502), we get a palindrome (24544542).

The spelling of 20522040 in words is "twenty million, five hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2221 2310 3080 4442 4620 6663 8884 9240 11105 13326 15547 17768 22210 24431 26652 31094 33315 44420 46641 48862 53304 62188 66630 73293 77735 88840 93282 97724 122155 124376 133260 146586 155470 171017 186564 195448 233205 244310 266520 293172 310940 342034 366465 373128 466410 488620 513051 586344 621880 684068 732930 855085 932820 977240 1026102 1368136 1465860 1710170 1865640 2052204 2565255 2931720 3420340 4104408 5130510 6840680 10261020 20522040