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20027088 = 243617101
BaseRepresentation
bin100110001100…
…1011011010000
31101200111000000
41030121123100
520111331323
61553130000
7332141004
oct114313320
941614000
1020027088
1110339714
126859900
1341c2863
142934704
151b58e43
hex13196d0

20027088 has 140 divisors (see below), whose sum is σ = 62209188. Its totient is φ = 6220800.

The previous prime is 20027087. The next prime is 20027113. The reversal of 20027088 is 88072002.

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 2286144 = 4212^2 + 1512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20027087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 198238 + ... + 198338.

Almost surely, 220027088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20027088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104594).

20027088 is an abundant number, since it is smaller than the sum of its proper divisors (42182100).

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

20027088 is a wasteful number, since it uses less digits than its factorization.

20027088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20027088 is about 4475.1634607017. The cubic root of 20027088 is about 271.5642532826.

The spelling of 20027088 in words is "twenty million, twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 101 102 108 136 144 153 162 202 204 216 243 272 303 306 324 404 408 432 459 486 606 612 648 729 808 816 909 918 972 1212 1224 1296 1377 1458 1616 1717 1818 1836 1944 2424 2448 2727 2754 2916 3434 3636 3672 3888 4131 4848 5151 5454 5508 5832 6868 7272 7344 8181 8262 10302 10908 11016 11664 12393 13736 14544 15453 16362 16524 20604 21816 22032 24543 24786 27472 30906 32724 33048 41208 43632 46359 49086 49572 61812 65448 66096 73629 82416 92718 98172 99144 123624 130896 139077 147258 185436 196344 198288 247248 278154 294516 370872 392688 417231 556308 589032 741744 834462 1112616 1178064 1251693 1668924 2225232 2503386 3337848 5006772 6675696 10013544 20027088