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20566440 = 23335137139
BaseRepresentation
bin100111001110…
…1000110101000
31102200212212000
41032131012220
520231111230
62012451000
7336545316
oct116350650
942625760
1020566440
1110677964
126a79a60
1343511bb
142a350b6
151c13b60
hex139d1a8

20566440 has 128 divisors (see below), whose sum is σ = 69552000. Its totient is φ = 5405184.

The previous prime is 20566409. The next prime is 20566453. The reversal of 20566440 is 4466502.

It is a happy number.

It is a super-3 number, since 3×205664403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147891 + ... + 148029.

It is an arithmetic number, because the mean of its divisors is an integer number (543375).

Almost surely, 220566440 is an apocalyptic number.

20566440 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 20566440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776000).

20566440 is an abundant number, since it is smaller than the sum of its proper divisors (48985560).

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

20566440 is a wasteful number, since it uses less digits than its factorization.

20566440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20566440 is about 4535.0237044584. The cubic root of 20566440 is about 273.9805338969.

The spelling of 20566440 in words is "twenty million, five hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 139 180 216 270 274 278 360 411 417 540 548 556 685 695 822 834 1080 1096 1112 1233 1251 1370 1390 1644 1668 2055 2085 2466 2502 2740 2780 3288 3336 3699 3753 4110 4170 4932 5004 5480 5560 6165 6255 7398 7506 8220 8340 9864 10008 12330 12510 14796 15012 16440 16680 18495 18765 19043 24660 25020 29592 30024 36990 37530 38086 49320 50040 57129 73980 75060 76172 95215 114258 147960 150120 152344 171387 190430 228516 285645 342774 380860 457032 514161 571290 685548 761720 856935 1028322 1142580 1371096 1713870 2056644 2285160 2570805 3427740 4113288 5141610 6855480 10283220 20566440